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

Set up the positive portion of the solution.

Simplify .

Simplify each term.

Apply the distributive property.

Multiply by .

Add and .

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

Subtract from both sides of the equation.

Subtract from .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Set up the negative portion of the solution.

Simplify .

Simplify each term.

Apply the distributive property.

Multiply by .

Add and .

Multiply by .

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

Subtract from both sides of the equation.

Subtract from .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

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

Solve for x |2(x-1)+4|=8