Solving Multi-Step Equations

Solving by Combining Like Terms

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

3x - 2(x - 9) = -24

x=-42

500

-13(4 + 2a) = 208

a = -10

Expressions

100

Simplify. 8b + 3b

11b

200

Simplify. 19x - 24x

-5x

300

Simplify. 3 + 5(a + 4)

5a + 23

400

Simplify. - (2b - 4)

-2b + 4

500

Simplify. 7(t + 8.5) - 5t + 4

2t + 63.5

Equations with Fractions

100

5/2x=-15

x = -6

200

1/2x-8=10

x=36

300

(x+3)/5=-2

x=-13

400

8/3x+9=17

x = 3

500

-3/4x+1/4+5/4=15/2

x=-8

Variables on Both Sides

100

4x-12=5x+3

x=-15

200

-5x+8x=36-3x

x=6

300

5(x+2)+8=3x

x=1

400

-9x+14-3x=-8x+2(x+13)

x=-2

500

2(x-9)+7x=12x-6

x=-4