Question

Solve the following equation.

|x − 12| + 6 = 56

A.
x = 62 or x = -38
B.
x = 74 or x = -74
C.
x = 50 or x = -50
D.
x = 38 or x = -62

Answer 1

`|x - 12| + 6 = 56 \\ x - 12 + 6 = 56 \\ x - 6 = 56 \\ \boxed{x = 62} \\ |x - 12| + 6 = 56 \\ - (x - 12) + 6 = 56 \\ 12 - x + 6 = 56 \\ - x + 18 = 56 \\ - x = 38 \\ \boxed{x = - 38} \\ \boxed{A. \: x = 62 \: or \: x = - 38}`