Answer:
x = 1, x = -7
Step-by-step explanation:
Step 1: Divide both sides by -2.
- [tex]\frac{-2(|4x+12|)}{-2} = \frac{-32}{-2}[/tex]
- [tex]|4x + 12| = 16[/tex]
Step 2: Solve absolute value.
- We know either 4x + 12 = 16 or 4x + 12 = -16.
1st Possibility:
- 4x + 12 = 16
- 4x + 12 - 12 = 16 - 12 (Subtract 12 from both sides)
- 4x = 4
- 4x/4 = 4/4 (Divide both sides by 4)
- x = 1
2nd possibility:
- 4x + 12 = -16
- 4x + 12 - 12 = -16 - 12 (Subtract 12 from both sides)
- 4x = -28
- 4x/4 = -28/4 (Divide both sides by 4)
- x = -7
Therefore, the answer is x = 1, x = -7.
