# Simplify |2z-5|+2|10-4z|=15

Subtract from both sides of the equation.
Reorder and .
Remove the absolute value term. This creates a on the right side of the equation because .
The result consists of both the positive and negative portions of the .
Solve for .
Solve for .
Rewrite the equation as .
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 .
Simplify each term.
Cancel the common factor of and .
Factor out of .
Move the negative one from the denominator of .
Rewrite as .
Divide by .
Remove the absolute value term. This creates a on the right side of the equation because .
The result consists of both the positive and negative portions of the .
Solve for .
Move all terms containing to the left side of the equation.
Add to both sides of the equation.
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 .
Solve for .
Simplify .
Apply the distributive property.
Multiply .
Multiply by .
Multiply by .
Multiply by .
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
Subtract from .
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 .
Consolidate the solutions.
Solve for .
Solve for .
Rewrite the equation as .
Multiply each term in by
Multiply each term in by .
Simplify .
Apply the distributive property.
Multiply.
Multiply by .
Multiply by .
Apply the distributive property.
Multiply.
Multiply by .
Multiply by .
Simplify each term.
Multiply by .
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 .
Simplify each term.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
Remove the absolute value term. This creates a on the right side of the equation because .
The result consists of both the positive and negative portions of the .
Solve for .
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
Subtract from .
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 .
Solve for .
Simplify .
Apply the distributive property.
Multiply by .
Move all terms containing to the left side of the equation.
Add to both sides of the equation.
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 .
Consolidate the solutions.
Consolidate the solutions.
Exclude the solutions that do not make true.
Simplify |2z-5|+2|10-4z|=15
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