Question

Solve for x: 3|x − 3| + 2 = 14

Answer 1

x = 7 x = -1

Explanation:

3|x − 3| + 2 = 14

Subtract 2 from each side

3|x − 3| + 2 -2= 14-2

3|x − 3| = 12

Divide by 3

3|x − 3| /3 = 12/3

|x − 3| = 4

Now the absolute value has a positive and negative solution.

x-3 = 4 x-3 = -4

Add 3 to each side

x-3+3 = 4+3 x-3+3 = -4+3

x = 7 x = -1