Question

Please help!:

Solve for x: 3|x − 3| + 2 = 14


Select one:
a. No solutions
b. x = −1, x = 8.3
c. x = 0, x = 7
d. x = −1, x = 7

Answer 1

D: x = -1, x = 7

Explanation:

First isolate the |x - 3| term...

3|x - 3| + 2 = 14

3|x - 3| = 12 (subtract 2 from both sides)

|x - 3| = 4 (divide by 3 on both sides)

So

x - 3 = 4 so x = 7 (add 3 to both sides)

and

x - 3 = -4 so x = -1 (add 3 to both sides)

***Two equations are set up because of the absolute value equation, |-4| = 4, so we use -4 as the second equation