Solving Equations With Variables On Both Sides

Variables on Both Sides

100

3n - 15 = 7n + n

n=-3

200

4m + 8 = -13 + 7m

m=7

300

x + 3 = -6 + 4x

x = 3

400

1 - x = 16 - 4x

x = 5

500

1 - 3x = 3x + 1

x = 0

Variables on Both Sides w/ like terms

100

4n - 1 = 6n + 8 -8n + 15

n = 4

200

6p + 2 + p - 3 = 8p - 8

p = 7

300

-13 + n + 5 +6 = 5 + 4n - 4

n = -1

400

4r + 8 + 5 = -15 - 3r

r = -4

500

3n + 4 + 14n = 4 - 32n

n = 0

Variables on Both Sides w/Distribution on One Side

100

-10 + 8m = -2(7m - 3) + 6

m = 1

200

-8(8b - 7) = -1 - 7b

b = 1

300

-13 + 6n = -7(5n - 4)

n = 1

400

6(r - 8) = 8r - 36

r = -6 

500

5(-2 - 3n) = -33 + 8n

n = 1

Variables on Both Sides w/Distribution on Both Sides

100

-5(x + 2) = -(-5x + 1) - x

x = -1

200

-5(-4r - 6) = 5(6 - r)

r = 0

300

6(1 - 4r) + 3r = -3(3r - 2) - 6r

r = 0

400

-6x - 3(1 + 5x) = -8(x - 4) + 4

x = -3

500

-7( 4x + 7) = 3 + 4(-4 - 6x)

x = -9

Vocabulary

100

The number in front of the variable.

What is a Coefficient?

200

The letter that represents and unknown amount.

What is a variable?

300

Whatever you do to one side...

You must do to the other.

400

This is doing the opposite of something in math.

What is Inverse operations?

500

A number that does not have a variable

What is a constant?