Finite Math Examples

Solve for x 3(1-x)-1/3=(2-3x)/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
Simplify each term.
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Step 2.1.1.1.1
Apply the distributive property.
Step 2.1.1.1.2
Multiply by .
Step 2.1.1.1.3
Multiply by .
Step 2.1.1.2
To write as a fraction with a common denominator, multiply by .
Step 2.1.1.3
Combine and .
Step 2.1.1.4
Combine the numerators over the common denominator.
Step 2.1.1.5
Simplify the numerator.
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Step 2.1.1.5.1
Multiply by .
Step 2.1.1.5.2
Subtract from .
Step 2.1.1.6
Apply the distributive property.
Step 2.1.1.7
Multiply by .
Step 2.1.1.8
Multiply .
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Step 2.1.1.8.1
Combine and .
Step 2.1.1.8.2
Multiply by .
Step 2.2
Simplify the right side.
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Step 2.2.1
Simplify .
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Step 2.2.1.1
Cancel the common factor of .
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Step 2.2.1.1.1
Cancel the common factor.
Step 2.2.1.1.2
Rewrite the expression.
Step 2.2.1.2
Reorder and .
Step 3
Solve for .
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Step 3.1
Move all terms containing to the left side of the equation.
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Step 3.1.1
Add to both sides of the equation.
Step 3.1.2
Add and .
Step 3.2
Move all terms not containing to the right side of the equation.
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Step 3.2.1
Subtract from both sides of the equation.
Step 3.2.2
To write as a fraction with a common denominator, multiply by .
Step 3.2.3
Combine and .
Step 3.2.4
Combine the numerators over the common denominator.
Step 3.2.5
Simplify the numerator.
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Step 3.2.5.1
Multiply by .
Step 3.2.5.2
Subtract from .
Step 3.2.6
Move the negative in front of the fraction.
Step 3.3
Divide each term in by and simplify.
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Step 3.3.1
Divide each term in by .
Step 3.3.2
Simplify the left side.
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Step 3.3.2.1
Cancel the common factor of .
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Step 3.3.2.1.1
Cancel the common factor.
Step 3.3.2.1.2
Divide by .
Step 3.3.3
Simplify the right side.
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Step 3.3.3.1
Multiply the numerator by the reciprocal of the denominator.
Step 3.3.3.2
Move the negative in front of the fraction.
Step 3.3.3.3
Multiply .
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Step 3.3.3.3.1
Multiply by .
Step 3.3.3.3.2
Multiply by .
Step 3.3.3.3.3
Multiply by .
Step 3.3.3.3.4
Multiply by .
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: