Question

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

Answer 1

x=0 or x=6

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

Answer 2

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