Question

Solve the absolute value equation.

|x - 2|- 7 =-3

Answer 1

x=-2, 6

Explanation:

|x - 2|- 7 =-3

Add 7 to each side

|x - 2|- 7+7 =-3+7

|x - 2| =4

Since the absolute value is isolated, we set it equal to the positive and negative of the constant

x-2 =4 x-2 = -4

Add 2 to each side

x-2+2 = 4+2 x-2+2 = -4+2

x=6 x=-2