# Solve for x |1-x|=-5 Remove the absolute value term. This creates a on the right side of the equation because .
Set up the positive portion of the solution.
Solve the first equation for .
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.
Solve the second equation for .
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.
Exclude the solutions that do not make true.
No solution
Solve for x |1-x|=-5

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