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

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

Two-Step Equations

100

4y + 9 = 33 

y = 6

200

5x = 2x + 12

x = 4

300

26 = 24 - x 

x = -2 

400

-5z - 8 = -63

z = 11

500

-9x - 13 = -103 

x = 10 

Variables on Both Sides

100

3a - 10 = 4 + a 

a = 7

200

9z - 2 =  - 6z + 28

z = 2

300

5n + 3 = 2n - 12

n = - 5

400

5(5a + 3) = 14a - 29

a = - 4 

500

-8x + 32 = -4(4x + 2) 

x = - 5

Mixed

100

x + 3x = - 8

x = - 2

200

4(y - 2) + y = -13

y = - 1

300

-6(m + 1) + 18 = 24

m = -2

400

6p + 2 + p - 3 = 8p - 8 

p = 7 

500

7k - 8 + 2(k + 12) = 52

k = 4