Solving Equations with Whole Numbers - Basic Math
Card 0 of 28
Solve for
.

Solve for .
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First, add 6 to both sides so that the term with "x" is on its own.

Now, divide both sides by 2.

First, add 6 to both sides so that the term with "x" is on its own.
Now, divide both sides by 2.
Solve:

Solve:
Tap to see back →
The answer is
. The goal is to isolate the variable,
, on one side of the equation sign and have all numerical values on the other side of the equation.
Since
is a negative number, you must add
to both sides.

Then, divide both sides of the equation by
:

The answer is . The goal is to isolate the variable,
, on one side of the equation sign and have all numerical values on the other side of the equation.
Since is a negative number, you must add
to both sides.
Then, divide both sides of the equation by :
Solve for
.

Solve for .
Tap to see back →
Start by isolating the term with
to one side. Add 10 on both sides.

Divide both sides by 7.

Start by isolating the term with to one side. Add 10 on both sides.
Divide both sides by 7.
If
, what is
equal to?
If , what is
equal to?
Tap to see back →
When solving an equation, we need to find a value of x which makes each side equal each other. We need to remember that
is equal to and the same as
. When we solve an equation, if we make a change on one side, we therefore need to make the exact same change on the other side, so that the equation stays equal and true. To illustrate, let's take a numerical equation:

If we subtract
from each side, the equation still remains equal:


If we now divide each side by
, the equation still remains equal:


This still holds true even if we have variables in our equation. We can perform the inverse operations to isolate the variable on one side and find out what number it's equal to. To solve our problem then, we need to isolate our
term. We can do that by subtracting
from each side, the inverse operation of adding
:


We now want there to be one
on the left side.
is the same thing as
, so we can get rid of the 6 by performing the inverse operation on both sides, i.e. dividing each side by
:

is therefore our final answer.
When solving an equation, we need to find a value of x which makes each side equal each other. We need to remember that is equal to and the same as
. When we solve an equation, if we make a change on one side, we therefore need to make the exact same change on the other side, so that the equation stays equal and true. To illustrate, let's take a numerical equation:
If we subtract from each side, the equation still remains equal:
If we now divide each side by , the equation still remains equal:
This still holds true even if we have variables in our equation. We can perform the inverse operations to isolate the variable on one side and find out what number it's equal to. To solve our problem then, we need to isolate our term. We can do that by subtracting
from each side, the inverse operation of adding
:
We now want there to be one on the left side.
is the same thing as
, so we can get rid of the 6 by performing the inverse operation on both sides, i.e. dividing each side by
:
is therefore our final answer.
Solve for
.

Solve for .
Tap to see back →
Start by adding 10 to both sides of the equation.

Then, divide both sides by
.

Start by adding 10 to both sides of the equation.
Then, divide both sides by .
Solve for t.

Solve for t.
Tap to see back →
First start by distributing the 7.


Now, add both sides by 14.

Finally, divide both sides by 7.

First start by distributing the 7.
Now, add both sides by 14.
Finally, divide both sides by 7.
Solve for
:

Solve for :
Tap to see back →
First, add
to both sides of the equation:

Then, divide both sides by
:

First, add to both sides of the equation:
Then, divide both sides by :
Solve for
.

Solve for .
Tap to see back →
First, add 6 to both sides so that the term with "x" is on its own.

Now, divide both sides by 2.

First, add 6 to both sides so that the term with "x" is on its own.
Now, divide both sides by 2.
Solve:

Solve:
Tap to see back →
The answer is
. The goal is to isolate the variable,
, on one side of the equation sign and have all numerical values on the other side of the equation.
Since
is a negative number, you must add
to both sides.

Then, divide both sides of the equation by
:

The answer is . The goal is to isolate the variable,
, on one side of the equation sign and have all numerical values on the other side of the equation.
Since is a negative number, you must add
to both sides.
Then, divide both sides of the equation by :
Solve for
.

Solve for .
Tap to see back →
Start by isolating the term with
to one side. Add 10 on both sides.

Divide both sides by 7.

Start by isolating the term with to one side. Add 10 on both sides.
Divide both sides by 7.
If
, what is
equal to?
If , what is
equal to?
Tap to see back →
When solving an equation, we need to find a value of x which makes each side equal each other. We need to remember that
is equal to and the same as
. When we solve an equation, if we make a change on one side, we therefore need to make the exact same change on the other side, so that the equation stays equal and true. To illustrate, let's take a numerical equation:

If we subtract
from each side, the equation still remains equal:


If we now divide each side by
, the equation still remains equal:


This still holds true even if we have variables in our equation. We can perform the inverse operations to isolate the variable on one side and find out what number it's equal to. To solve our problem then, we need to isolate our
term. We can do that by subtracting
from each side, the inverse operation of adding
:


We now want there to be one
on the left side.
is the same thing as
, so we can get rid of the 6 by performing the inverse operation on both sides, i.e. dividing each side by
:

is therefore our final answer.
When solving an equation, we need to find a value of x which makes each side equal each other. We need to remember that is equal to and the same as
. When we solve an equation, if we make a change on one side, we therefore need to make the exact same change on the other side, so that the equation stays equal and true. To illustrate, let's take a numerical equation:
If we subtract from each side, the equation still remains equal:
If we now divide each side by , the equation still remains equal:
This still holds true even if we have variables in our equation. We can perform the inverse operations to isolate the variable on one side and find out what number it's equal to. To solve our problem then, we need to isolate our term. We can do that by subtracting
from each side, the inverse operation of adding
:
We now want there to be one on the left side.
is the same thing as
, so we can get rid of the 6 by performing the inverse operation on both sides, i.e. dividing each side by
:
is therefore our final answer.
Solve for
.

Solve for .
Tap to see back →
Start by adding 10 to both sides of the equation.

Then, divide both sides by
.

Start by adding 10 to both sides of the equation.
Then, divide both sides by .
Solve for t.

Solve for t.
Tap to see back →
First start by distributing the 7.


Now, add both sides by 14.

Finally, divide both sides by 7.

First start by distributing the 7.
Now, add both sides by 14.
Finally, divide both sides by 7.
Solve for
:

Solve for :
Tap to see back →
First, add
to both sides of the equation:

Then, divide both sides by
:

First, add to both sides of the equation:
Then, divide both sides by :
Solve for
.

Solve for .
Tap to see back →
First, add 6 to both sides so that the term with "x" is on its own.

Now, divide both sides by 2.

First, add 6 to both sides so that the term with "x" is on its own.
Now, divide both sides by 2.
Solve:

Solve:
Tap to see back →
The answer is
. The goal is to isolate the variable,
, on one side of the equation sign and have all numerical values on the other side of the equation.
Since
is a negative number, you must add
to both sides.

Then, divide both sides of the equation by
:

The answer is . The goal is to isolate the variable,
, on one side of the equation sign and have all numerical values on the other side of the equation.
Since is a negative number, you must add
to both sides.
Then, divide both sides of the equation by :
Solve for
.

Solve for .
Tap to see back →
Start by isolating the term with
to one side. Add 10 on both sides.

Divide both sides by 7.

Start by isolating the term with to one side. Add 10 on both sides.
Divide both sides by 7.
If
, what is
equal to?
If , what is
equal to?
Tap to see back →
When solving an equation, we need to find a value of x which makes each side equal each other. We need to remember that
is equal to and the same as
. When we solve an equation, if we make a change on one side, we therefore need to make the exact same change on the other side, so that the equation stays equal and true. To illustrate, let's take a numerical equation:

If we subtract
from each side, the equation still remains equal:


If we now divide each side by
, the equation still remains equal:


This still holds true even if we have variables in our equation. We can perform the inverse operations to isolate the variable on one side and find out what number it's equal to. To solve our problem then, we need to isolate our
term. We can do that by subtracting
from each side, the inverse operation of adding
:


We now want there to be one
on the left side.
is the same thing as
, so we can get rid of the 6 by performing the inverse operation on both sides, i.e. dividing each side by
:

is therefore our final answer.
When solving an equation, we need to find a value of x which makes each side equal each other. We need to remember that is equal to and the same as
. When we solve an equation, if we make a change on one side, we therefore need to make the exact same change on the other side, so that the equation stays equal and true. To illustrate, let's take a numerical equation:
If we subtract from each side, the equation still remains equal:
If we now divide each side by , the equation still remains equal:
This still holds true even if we have variables in our equation. We can perform the inverse operations to isolate the variable on one side and find out what number it's equal to. To solve our problem then, we need to isolate our term. We can do that by subtracting
from each side, the inverse operation of adding
:
We now want there to be one on the left side.
is the same thing as
, so we can get rid of the 6 by performing the inverse operation on both sides, i.e. dividing each side by
:
is therefore our final answer.
Solve for
.

Solve for .
Tap to see back →
Start by adding 10 to both sides of the equation.

Then, divide both sides by
.

Start by adding 10 to both sides of the equation.
Then, divide both sides by .
Solve for t.

Solve for t.
Tap to see back →
First start by distributing the 7.


Now, add both sides by 14.

Finally, divide both sides by 7.

First start by distributing the 7.
Now, add both sides by 14.
Finally, divide both sides by 7.