Absolute Value Equations (Both Sides)

Solve for |x - 3| = |3x + 2| - 1

(could have multiple answers)

• x = -3

• x = 1/2

• x = -1

• x = 2

Solve for |-2x + 7| = 25

(could have multiple answers)

• x = 9

• x = -9

• x = 16

• No Solutions

Solve for |9 - 2x| = 3

(could have multiple answers)

• x = 4

• x = 6

• x = -3

• x = 3

Solve for |x - 7| = |2x - 2|

(could have multiple answers)

• x = 5

• x = -5

• x = 3

• x = -3

Solve for |x - 3| = |x + 2|

(could have multiple answers)

• x = -3

• x = 1/2

• x = 2

• No solution

|x - 3| = |3 - x|

• x = 3

• x = -3

• No Solutions

• All Real Numbers (infinite solutions)

 $\left|\frac{x-4}{3}\right|=\left|x+2\right|$  
(could have multiple answers)

• No Solutions

• x = -5

• x = -0.5

• x = -1

|2x + 4| = |x - 3|

• x = -7

• x = 7/3

• x = -1/3

• x = 3

|x + 4| = |x - 5|

• No Solutions

• x = 2

• x = 1/2

• x = -1/2

2|x - 6| = 3|3x + 3|

(could have multiple answers)

• x = 3/11

• x = 21/11

• x= -3

• x = -3/7