Answer:
C) x=3,x=-1
Step-by-step explanation:
Step 1: Add -6 to both sides.
3(|2x−2|)+6+−6=18+−6
3(|2x−2|)=12
Step 2: Divide both sides by 3.
3(|2x−2|)/3=12/3
|2x−2|=4
Step 3: Solve Absolute Value.
|2x−2|=4
We know either2x−2=4or2x−2=−4
2x−2=4(Possibility 1)
2x−2+2=4+2(Add 2 to both sides)
2x=6
2x/2=6/2
(Divide both sides by 2)
x=3
2x−2=−4(Possibility 2)
2x−2+2=−4+2(Add 2 to both sides)
2x=−2
2x/2=−2/2
(Divide both sides by 2)
x=−1
