What is the solution to - 4|-2x + 6| = - 24

x=0 or x=6

Step-by-step explanation:

-4 |-2x + 6| = - 24

Step 1: Divide both sides by - 4.

-4 / -4 |-2x + 6| = - 24 / - 4

|-2x + 6| = 6

Step 2: Solve Absolute Value.

|-2x + 6| = 6

Possibility 1 Equation: - 2x + 6 = 6

Possibility 2 Equation: - 2x + 6 = - 6

Solve for Possibility 1:

-2x + 6 = 6

Subtract 6 from both sides:

-2x + 6-6 = 6-6

-2x = 0

Divide both sides by - 2

-2/-2 x = 0/-2

Possibility 1: x=0

Solve for Possibility 2:

-2x + 6 = - 6

Subtract 6 from both sides

-2x + 6-6 = - 6-6

-2x = - 12

Divide both sides by - 2

-2/-2 x = - 12 / -2

Possibility 2: x=6

X = 0 and x = - 6 since it's an absolute value it would have 2 solutions