**Definitions**

Coefficient - The number that is placed before and multiplied by the variable.

e.g. 2x+4=10

Constant - A quantity that does not change its value.

e.g. 2x+4=10

Variable - A letter or symbol that is used to represent a number.

e.g. 2x+4=10

**2 step multiply**

3x+4=10

**The first thing you do is isolate the variable. To isolate the variable you need to make a zero pair for the constant.**

3x+4-4=10-4

**After you isolate the variable you balance it, by dividing both sides by the coefficient and after that you simplify it.**

__3x__=

__6__

3 3

x=2

Once you've find the solution, you verify by first rewriting the question.

3x+4=10

Then you change the variable to the solution and multiply. In this case the solution is 2 and you multiply the coefficient (3) to 2.

3(2)+4=10

After you multiply you add the coefficient to the constant..

6+4=10

And you got your answer.

10=10

**2 step divide**

__x__+5=8

2

First you isolate the variable like when you do multiplication by making a zero pair for your constant.

__x__+5-5=8-5

2

After you isolate the variable you balance it, by multiplying both sides by 2.

(2)

__x__=3(2)

2

x=6

Now you verify, by rewriting the question.

__x__+5=8

2

Substitute or change the variable to the solution.

__6__+5=8

2

Now you divide the coefficient.

3+5=8

And that's how you to 2 step divide.

8=8

**Distribute**

2(g+4)=-8

To distribute you first multiply the coefficient to the constant and variable

2(g+4)=-8

g+4

g+4

and you get.

2g+8=-8

Now you find the solution, by doing the 2 step multiply.

2g+8=-8

2g+8-8=-8-8

__2g__=

__-16__

2 2

g=-8

Now you verify by doing the 2 step multiply.

2g+8=-8

2(-8)+8=-8

-16+8=-8

-8=-8

And that's how you distribute. I hope you learned about something in this blog.

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