Question

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

Answer 1

Let's solve your equation step-by-step.
−4(|−2x+6|)=−24
Step 1: Divide both sides by -4.
−4(|−2x+6|)
−4
=
−24
−4
|−2x+6|=6
Step 2: Solve Absolute Value.
|−2x+6|=6
We know either−2x+6=6or−2x+6=−6
−2x+6=6(Possibility 1)
−2x+6−6=6−6(Subtract 6 from both sides)
−2x=0
−2x
−2
=
0
−2
(Divide both sides by -2)
x=0
−2x+6=−6(Possibility 2)
−2x+6−6=−6−6(Subtract 6 from both sides)
−2x=−12
−2x
−2
=
−12
−2
(Divide both sides by -2)
x=6
Answer:
x=0 or x=6