Solve the absolute value equation.

|x - 2| - 7 = -3

x=-2, 6

Step-by-step 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