Solving Equations With Variables On Both Sides

One Step

100

19=k/9

k=171

200

-13m=-117

m=9

300

11m=44

m=4

400

x-25=50

x=75

500

22=-11+x

x=33

Multi-Step

100

1+2m=3

1

200

23=9+7b

b=2

300

-10x-9=101

x=-11

400

-45=-3(-1+m)

16

500

-5(a-6)=-60

a=18

Variables on both sides Part 1

100

11x=24+8x

x=8

200

2z-31=-9z+24

z=5

300

9-2y=8y-6

y=1.5

400

7a-5=2a

a=1

500

6x+10=1x

x=-2

Variables on both sides Part 2

100

5n+9=2n

n=-3

200

4n+13=n-8

n=-7

300

x+5=4x+26

x=7

400

3a-1=2a

a=1

500

8y-3=6y=17

y=10

Conceptual

100

What inverse operation should be done to isolate x for the following equation? 4x=-20

Divide both sides by 4

200

What is the inverse operation that can be used to isolate x?  -10+x=65

add 10 to both sides

300

Immediately after applying the distributive property, what should the new expression be? -4(7+a)-2a=-36-7a

-28-4a-2a=-36-7a

400

What is the first step when solving an equation?

Simplify both sides of the equal sign.

500

What should be done to simplify the equation before trying to solve it? Be specific. 16-2x=5x+3x

Combine 5x and 3x to get 8x