Solve for x: 3|2x − 2| + 6 = 18. (5 points)

A) x = 1, x = −1
B) x = 3, x = −3
C) x = 3, x = −1
D) x = −3, x = 1

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