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 |x - 7| = |2x - 2|

(could have multiple answers)

• x = 5

• x = -5

• x = 3

• x = -3

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

• x = -7

• x = 7/3

• x = -1/3

• x = 3

• -50, 20

• -45, 30

• 5, 25

• 0, 35

Solve for x
l 2x−1 l = 9

• x = 5 and x =-4

• x = 5 and x = -5

• Only x = 5

• No Solution

Solve for x
l 2x−1 l +4 = 8 

• x = 2.5 and x = -1.5

• x = 2 and x = -1

• x = -2 and x = 9

• No Solution

• 8
  

• -8

• 15

• -15

−2|−2r − 4| = -12

• {3,1}

• {-5,1)

• {-1, 5}

• No Solution

• -545, -575

• -550, -525

• 540, 280

• 0, 575