Solve for x: -2|4x + 12| = -32 (5 points) no solution
x = 1, x = -1
x = 1x = -7
x = -1, x = 7

x = 1, x = -7

Step-by-step explanation:

Step 1: Divide both sides by -2.

Step 2: Solve absolute value.

We know either 4x + 12 = 16 or 4x + 12 = -16.

1st Possibility:

4x + 12 = 164x + 12 - 12 = 16 - 12 (Subtract 12 from both sides)4x = 44x/4 = 4/4 (Divide both sides by 4)x = 1

2nd possibility:

4x + 12 = -164x + 12 - 12 = -16 - 12 (Subtract 12 from both sides)4x = -284x/4 = -28/4 (Divide both sides by 4)x = -7

Therefore, the answer is x = 1, x = -7.