|x-8|=2

Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.

x-8=±2

Set up the positive portion of the ± solution.

x-8=2

Add 8 to both sides of the equation.

x=2+8

Add 2 and 8.

x=10

x=10

Set up the negative portion of the ± solution.

x-8=-2

Add 8 to both sides of the equation.

x=-2+8

Add -2 and 8.

x=6

x=6

The solution to the equation includes both the positive and negative portions of the solution.

x=10,6

Solve for x |x-8|=2