Basic Math Examples

Solve for h (8h-7)/3+(4(2h-5))/6-1=(7h-4)/2
Step 1
Multiply both sides by .
Step 2
Simplify.
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Step 2.1
Simplify the left side.
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Step 2.1.1
Simplify .
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Step 2.1.1.1
Find the common denominator.
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Step 2.1.1.1.1
Multiply by .
Step 2.1.1.1.2
Multiply by .
Step 2.1.1.1.3
Write as a fraction with denominator .
Step 2.1.1.1.4
Multiply by .
Step 2.1.1.1.5
Multiply by .
Step 2.1.1.1.6
Reorder the factors of .
Step 2.1.1.1.7
Multiply by .
Step 2.1.1.2
Combine the numerators over the common denominator.
Step 2.1.1.3
Simplify each term.
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Step 2.1.1.3.1
Apply the distributive property.
Step 2.1.1.3.2
Multiply by .
Step 2.1.1.3.3
Multiply by .
Step 2.1.1.3.4
Apply the distributive property.
Step 2.1.1.3.5
Multiply by .
Step 2.1.1.3.6
Multiply by .
Step 2.1.1.3.7
Multiply by .
Step 2.1.1.4
Simplify terms.
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Step 2.1.1.4.1
Add and .
Step 2.1.1.4.2
Simplify by subtracting numbers.
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Step 2.1.1.4.2.1
Subtract from .
Step 2.1.1.4.2.2
Subtract from .
Step 2.1.1.4.3
Factor out of .
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Step 2.1.1.4.3.1
Factor out of .
Step 2.1.1.4.3.2
Factor out of .
Step 2.1.1.4.3.3
Factor out of .
Step 2.1.1.4.4
Cancel the common factor of .
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Step 2.1.1.4.4.1
Factor out of .
Step 2.1.1.4.4.2
Cancel the common factor.
Step 2.1.1.4.4.3
Rewrite the expression.
Step 2.2
Simplify the right side.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Rewrite the expression.
Step 3
Solve for .
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Step 3.1
Multiply both sides by .
Step 3.2
Simplify.
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Step 3.2.1
Simplify the left side.
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Step 3.2.1.1
Simplify .
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Step 3.2.1.1.1
Cancel the common factor of .
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Step 3.2.1.1.1.1
Cancel the common factor.
Step 3.2.1.1.1.2
Rewrite the expression.
Step 3.2.1.1.2
Apply the distributive property.
Step 3.2.1.1.3
Multiply.
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Step 3.2.1.1.3.1
Multiply by .
Step 3.2.1.1.3.2
Multiply by .
Step 3.2.2
Simplify the right side.
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Step 3.2.2.1
Simplify .
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Step 3.2.2.1.1
Apply the distributive property.
Step 3.2.2.1.2
Multiply.
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Step 3.2.2.1.2.1
Multiply by .
Step 3.2.2.1.2.2
Multiply by .
Step 3.3
Solve for .
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Step 3.3.1
Move all terms containing to the left side of the equation.
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Step 3.3.1.1
Subtract from both sides of the equation.
Step 3.3.1.2
Subtract from .
Step 3.3.2
Move all terms not containing to the right side of the equation.
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Step 3.3.2.1
Add to both sides of the equation.
Step 3.3.2.2
Add and .
Step 3.3.3
Divide each term in by and simplify.
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Step 3.3.3.1
Divide each term in by .
Step 3.3.3.2
Simplify the left side.
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Step 3.3.3.2.1
Cancel the common factor of .
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Step 3.3.3.2.1.1
Cancel the common factor.
Step 3.3.3.2.1.2
Divide by .
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: