Solving Linear Equations

2-Step Equations

100

7x + 1 = 22

3

200

3x + 5 = -16

x = -7

300

8 + 3m = -7

-5

400

(x/2) - 4 = 0

x = 8

500

1/6(x + 12) = -4

x = -36

Distributive Property

100

7(s - 5) = 42

s = 11

200

-6 = 3(2z + 8)

z = -5

300

2(3x + 4) = 35

x = 4.5

400

-4(x + 3) = 4

x = -4

500

3(2y + 5) = 45

y = 5

Combining Like Terms

100

6x - 2x + 11 = -5

x = -4

200

6k + 12 - 3k = 57

k = 15

300

3a + 2 - 5a = -14

a = 8

400

4g - 3 + 2g - 2 = 72

g = 11.16

500

8 - 8x - 3 - 2x = 25

x = -2

Multi-Step Equations

100

5x + 3(x + 4) = 28

x = 2

200

2(x - 1) + 3x = 3

x = 1

300

6x - 2(x - 5) = 46

x = 9

400

3c - 3(6 - 2c) = 27

c = 12.6

500

3(y - 1) + 2(y + 3) = 13

y = 2

Variables on Both Sides

100

8x - 90 = 2x + 36

x = 20

200

4x - 21 = x - 18

x = -13

300

-3 + 5a = 4a - 10

a = -7

400

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

r = -4

500

-8(n + 6) = -7(n + 7)

n = 1