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

Math
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 .
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Solve for .
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Rewrite the equation as .
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify each term.
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Cancel the common factor of and .
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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 .
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Move all terms containing to the left side of the equation.
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Add to both sides of the equation.
Add and .
Move all terms not containing to the right side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Divide by .
Solve for .
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Simplify .
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Apply the distributive property.
Multiply .
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Multiply by .
Multiply by .
Multiply by .
Move all terms containing to the left side of the equation.
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Subtract from both sides of the equation.
Subtract from .
Move all terms not containing to the right side of the equation.
Tap for more steps…
Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Divide by .
Consolidate the solutions.
Solve for .
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Solve for .
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Rewrite the equation as .
Multiply each term in by
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Multiply each term in by .
Simplify .
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Apply the distributive property.
Multiply.
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Multiply by .
Multiply by .
Apply the distributive property.
Multiply.
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Multiply by .
Multiply by .
Simplify each term.
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Multiply by .
Multiply by .
Move all terms not containing to the right side of the equation.
Tap for more steps…
Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Simplify each term.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
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 .
Tap for more steps…
Move all terms containing to the left side of the equation.
Tap for more steps…
Subtract from both sides of the equation.
Subtract from .
Move all terms not containing to the right side of the equation.
Tap for more steps…
Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Divide by .
Solve for .
Tap for more steps…
Simplify .
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Apply the distributive property.
Multiply by .
Move all terms containing to the left side of the equation.
Tap for more steps…
Add to both sides of the equation.
Add and .
Move all terms not containing to the right side of the equation.
Tap for more steps…
Subtract from both sides of the equation.
Subtract from .
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
Tap for more steps…
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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