|x+5|=3

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

x+5=±3

Set up the positive portion of the ± solution.

x+5=3

Subtract 5 from both sides of the equation.

x=3-5

Subtract 5 from 3.

x=-2

x=-2

Set up the negative portion of the ± solution.

x+5=-3

Subtract 5 from both sides of the equation.

x=-3-5

Subtract 5 from -3.

x=-8

x=-8

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

x=-2,-8

Solve for x |x+5|=3