Finite Math Examples

Solve for w -3/4w-4/3=-1/6w+1/12+5/6w
Step 1
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Step 2
Simplify .
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Step 2.1
Simplify each term.
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Step 2.1.1
Combine and .
Step 2.1.2
Combine and .
Step 2.2
Simplify terms.
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Step 2.2.1
Combine the numerators over the common denominator.
Step 2.2.2
Add and .
Step 2.2.3
Cancel the common factor of and .
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Step 2.2.3.1
Factor out of .
Step 2.2.3.2
Cancel the common factors.
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Step 2.2.3.2.1
Factor out of .
Step 2.2.3.2.2
Cancel the common factor.
Step 2.2.3.2.3
Rewrite the expression.
Step 3
Simplify each term.
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Step 3.1
Combine and .
Step 3.2
Move to the left of .
Step 4
Move all terms containing to the left side of the equation.
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Step 4.1
Add to both sides of the equation.
Step 4.2
To write as a fraction with a common denominator, multiply by .
Step 4.3
To write as a fraction with a common denominator, multiply by .
Step 4.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 4.4.1
Multiply by .
Step 4.4.2
Multiply by .
Step 4.4.3
Multiply by .
Step 4.4.4
Multiply by .
Step 4.5
Combine the numerators over the common denominator.
Step 4.6
Combine the numerators over the common denominator.
Step 4.7
Simplify each term.
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Step 4.7.1
Multiply by .
Step 4.7.2
Multiply by .
Step 4.8
Add and .
Step 5
Multiply both sides by .
Step 6
Simplify.
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Step 6.1
Simplify the left side.
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Step 6.1.1
Cancel the common factor of .
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Step 6.1.1.1
Cancel the common factor.
Step 6.1.1.2
Rewrite the expression.
Step 6.2
Simplify the right side.
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Step 6.2.1
Simplify .
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Step 6.2.1.1
Cancel the common factor of .
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Step 6.2.1.1.1
Move the leading negative in into the numerator.
Step 6.2.1.1.2
Factor out of .
Step 6.2.1.1.3
Cancel the common factor.
Step 6.2.1.1.4
Rewrite the expression.
Step 6.2.1.2
Multiply by .
Step 7
Solve for .
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Step 7.1
Move all terms not containing to the right side of the equation.
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Step 7.1.1
Subtract from both sides of the equation.
Step 7.1.2
Subtract from .
Step 7.2
Divide each term in by and simplify.
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Step 7.2.1
Divide each term in by .
Step 7.2.2
Simplify the left side.
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Step 7.2.2.1
Cancel the common factor of .
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Step 7.2.2.1.1
Cancel the common factor.
Step 7.2.2.1.2
Divide by .
Step 7.2.3
Simplify the right side.
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Step 7.2.3.1
Divide by .