Solving Equations

One-Step Equations

1

x - 8 = 4

x= 12

2

x + 12 = 0

x= -12

3

3 = -2 + x

x= 5

4

5x = -80

x= -16

5

(x/2)=-8

x= -16

Two-Step Equations

1

6x – 13 = 11

x= 4

2

3x + 5 = 14

x= 3

3

-2x + 4 = 10

x= -3

4

(x/2)+8=10

x= 4

5

(x/3)-3=-3

x= 0

Mixed Equations

1

x - 2 = 6

x = 8

2

-5p + 1 = 6

p = -1

3

2n+10 = 4

n = -3

4

5(m-3) = 4

m = 19/5

5

3(𝑥 − 9) = −3

x = 8

Multi-Step Equations

1

x + 3 + 3x = 7

x = 1

2

5 + 5x - 1 = 29

x = 5

3

-45 = 3x + 4 + 4x

x = -7

4

14 = -(2a + 6) + 2

a= -9

5

-21 = 7(5k - 8)

k = 1

Equations with Variables on Both Sides

1

4x - 2 = 3x + 5

x = 7

2

2x - 8 = 5x + 4

x = -4

3

6x + 3 - 2x = 2x + 11

x = 4

4

9 - x = 6 + 2x

x = 1

5

6x + 15 + 4x = 5(3x - 3)

x=6