Add to both sides of the equation.

Add and .

Remove the absolute value term. This creates a on the right side of the equation because .

Set up the positive portion of the solution.

Move all terms not containing to the right side of the equation.

Subtract from both sides of the equation.

Subtract from .

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Multiply by .

Set up the negative portion of the solution.

Move all terms not containing to the right side of the equation.

Subtract from both sides of the equation.

Subtract from .

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Multiply by .

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

Solve for j |5-j|-3=8