Finite Math Examples

Solve for x h(2z)=(4x+7)/(x-6)
Step 1
Multiply the equation by .
Step 2
Simplify the left side.
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Step 2.1
Simplify .
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Step 2.1.1
Rewrite using the commutative property of multiplication.
Step 2.1.2
Apply the distributive property.
Step 2.1.3
Simplify the expression.
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Step 2.1.3.1
Rewrite using the commutative property of multiplication.
Step 2.1.3.2
Multiply by .
Step 3
Simplify the right side.
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Step 3.1
Cancel the common factor of .
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Step 3.1.1
Cancel the common factor.
Step 3.1.2
Rewrite the expression.
Step 4
Solve for .
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Step 4.1
Subtract from both sides of the equation.
Step 4.2
Add to both sides of the equation.
Step 4.3
Factor out of .
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Step 4.3.1
Factor out of .
Step 4.3.2
Factor out of .
Step 4.3.3
Factor out of .
Step 4.4
Divide each term in by and simplify.
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Step 4.4.1
Divide each term in by .
Step 4.4.2
Simplify the left side.
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Step 4.4.2.1
Cancel the common factor of .
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Step 4.4.2.1.1
Cancel the common factor.
Step 4.4.2.1.2
Rewrite the expression.
Step 4.4.2.2
Cancel the common factor of .
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Step 4.4.2.2.1
Cancel the common factor.
Step 4.4.2.2.2
Divide by .
Step 4.4.3
Simplify the right side.
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Step 4.4.3.1
Cancel the common factor of and .
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Step 4.4.3.1.1
Factor out of .
Step 4.4.3.1.2
Cancel the common factors.
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Step 4.4.3.1.2.1
Cancel the common factor.
Step 4.4.3.1.2.2
Rewrite the expression.
Step 4.4.3.2
To write as a fraction with a common denominator, multiply by .
Step 4.4.3.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 4.4.3.3.1
Multiply by .
Step 4.4.3.3.2
Reorder the factors of .
Step 4.4.3.4
Combine the numerators over the common denominator.
Step 4.4.3.5
Multiply by .