Subtract from both sides of the equation.

Subtract from .

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

Set up the positive portion of the solution.

Add to both sides of the equation.

Add and .

Set up the negative portion of the solution.

Add to both sides of the equation.

Add and .

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

Exclude the solutions that do not make true.

No solution

Solve for x |x-1|+5=2