Pre-Algebra Examples

Solve for h 5/6h-7/12=-3/4h-13/6
Step 1
Combine and .
Step 2
Simplify each term.
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Step 2.1
Combine and .
Step 2.2
Move to the left of .
Step 3
Move all terms containing to the left side of the equation.
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Step 3.1
Add to both sides of the equation.
Step 3.2
To write as a fraction with a common denominator, multiply by .
Step 3.3
To write as a fraction with a common denominator, multiply by .
Step 3.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.4.1
Multiply by .
Step 3.4.2
Multiply by .
Step 3.4.3
Multiply by .
Step 3.4.4
Multiply by .
Step 3.5
Combine the numerators over the common denominator.
Step 3.6
Combine the numerators over the common denominator.
Step 3.7
Simplify each term.
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Step 3.7.1
Multiply by .
Step 3.7.2
Multiply by .
Step 3.8
Add and .
Step 4
Multiply both sides by .
Step 5
Simplify.
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Step 5.1
Simplify the left side.
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Step 5.1.1
Cancel the common factor of .
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Step 5.1.1.1
Cancel the common factor.
Step 5.1.1.2
Rewrite the expression.
Step 5.2
Simplify the right side.
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Step 5.2.1
Simplify .
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Step 5.2.1.1
Cancel the common factor of .
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Step 5.2.1.1.1
Move the leading negative in into the numerator.
Step 5.2.1.1.2
Factor out of .
Step 5.2.1.1.3
Cancel the common factor.
Step 5.2.1.1.4
Rewrite the expression.
Step 5.2.1.2
Multiply by .
Step 6
Solve for .
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Step 6.1
Move all terms not containing to the right side of the equation.
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Step 6.1.1
Add to both sides of the equation.
Step 6.1.2
Add and .
Step 6.2
Divide each term in by and simplify.
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Step 6.2.1
Divide each term in by .
Step 6.2.2
Simplify the left side.
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Step 6.2.2.1
Cancel the common factor of .
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Step 6.2.2.1.1
Cancel the common factor.
Step 6.2.2.1.2
Divide by .
Step 6.2.3
Simplify the right side.
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Step 6.2.3.1
Divide by .