Finite Math Examples

Solve for x y-8=7/5*(x+10)
Step 1
Rewrite the equation as .
Step 2
Multiply both sides of the equation by .
Step 3
Simplify both sides of the equation.
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Step 3.1
Simplify the left side.
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Step 3.1.1
Simplify .
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Step 3.1.1.1
Apply the distributive property.
Step 3.1.1.2
Combine and .
Step 3.1.1.3
Cancel the common factor of .
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Step 3.1.1.3.1
Factor out of .
Step 3.1.1.3.2
Cancel the common factor.
Step 3.1.1.3.3
Rewrite the expression.
Step 3.1.1.4
Multiply by .
Step 3.1.1.5
Apply the distributive property.
Step 3.1.1.6
Cancel the common factor of .
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Step 3.1.1.6.1
Cancel the common factor.
Step 3.1.1.6.2
Rewrite the expression.
Step 3.1.1.7
Cancel the common factor of .
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Step 3.1.1.7.1
Factor out of .
Step 3.1.1.7.2
Cancel the common factor.
Step 3.1.1.7.3
Rewrite the expression.
Step 3.1.1.8
Cancel the common factor of .
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Step 3.1.1.8.1
Factor out of .
Step 3.1.1.8.2
Cancel the common factor.
Step 3.1.1.8.3
Rewrite the expression.
Step 3.1.1.9
Multiply by .
Step 3.2
Simplify the right side.
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Step 3.2.1
Simplify .
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Step 3.2.1.1
Apply the distributive property.
Step 3.2.1.2
Combine and .
Step 3.2.1.3
Multiply .
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Step 3.2.1.3.1
Combine and .
Step 3.2.1.3.2
Multiply by .
Step 3.2.1.4
Move the negative in front of the fraction.
Step 4
Move all terms not containing to the right side of the equation.
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Step 4.1
Subtract from both sides of the equation.
Step 4.2
To write as a fraction with a common denominator, multiply by .
Step 4.3
Combine and .
Step 4.4
Combine the numerators over the common denominator.
Step 4.5
Simplify the numerator.
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Step 4.5.1
Multiply by .
Step 4.5.2
Subtract from .
Step 4.6
Move the negative in front of the fraction.