Solving Equations

One-Step Equations

1

4 = -8 + x

x= 12

2

x + 12 = 0

x= -12

3

3 = -2 – x

x= -5

4

5x = -80

x= 16

5

-16 = x+2

x= -18

Two-Step Equations

1

6x – 13 = 11

x= 4

2

3x + 5 = 14

x= 3

3

3+(x/2) =-8

x= -22

4

2(-3x - 2x)= -20

x= 2

5

(x/3)-3=3

x= 18

Mixed Equations

1

Solving Equations

x - 2 = 6

x = 8

2

Solving Equations

-5p + 1 = 6

p = -1

3

Solving Equations

2n+10 = 4

n = -3

4

Solving Equations

5(m-3) = 4

m = 19/5

5

Solving Equations

3(𝑥 − 9) = −3

x = 8

Multi-Step Equations

1

Solving Equations

x + 3 + 3x = 7

x = 1

2

Solving Equations

5 + 5x - 1 = 29

x = 5

3

Solving Equations

-45 = 3x + 4 + 4x

x = -7

4

Solving Equations

14 = (3a + 6) + 2

a=2

5

Solving Equations

-21 = 7(5k - 8)

k = 1

Equations with Variables on Both Sides

1

4x - 2 = 3x + 5

x = 7

2

2(x - 4) = 5x + 4

x = -4

3

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

x = 4

4

9 - x = 6 + 2x

x = 1

5

x - 15 + 4x = 5(2x - 3)

x= 0

Absolute Value

1

Solve for x

|x-5|=1

x=6,4

2

Solve for x

|-2-x|=4

x= -6, 2

3

Solve for x

|2x-3| = 7

x= 5, -2

4

Solve for x

|10-2x| = 8

x = 1, 9

5

Solve for x

|-9-3x| = 27

x = -12, 6