Basic Math Examples

Solve for v -1/3v-7/3=7v-1/2
Step 1
Simplify each term.
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Step 1.1
Move the negative in front of the fraction.
Step 1.2
Combine and .
Step 2
Move all terms containing to the left side of the equation.
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Step 2.1
Subtract from both sides of the equation.
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Combine and .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Combine the numerators over the common denominator.
Step 2.6
Multiply by .
Step 2.7
Subtract from .
Step 2.8
Factor out of .
Step 2.9
Rewrite as .
Step 2.10
Factor out of .
Step 2.11
Rewrite as .
Step 2.12
Move the negative in front of the fraction.
Step 3
Multiply both sides of the equation by .
Step 4
Simplify both sides of the equation.
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Step 4.1
Simplify the left side.
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Step 4.1.1
Simplify .
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Step 4.1.1.1
Cancel the common factor of .
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Step 4.1.1.1.1
Move the leading negative in into the numerator.
Step 4.1.1.1.2
Factor out of .
Step 4.1.1.1.3
Cancel the common factor.
Step 4.1.1.1.4
Rewrite the expression.
Step 4.1.1.2
Multiply.
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Step 4.1.1.2.1
Multiply by .
Step 4.1.1.2.2
Multiply by .
Step 4.2
Simplify the right side.
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Step 4.2.1
Multiply .
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Step 4.2.1.1
Multiply by .
Step 4.2.1.2
Combine and .
Step 5
Move all terms not containing to the right side of the equation.
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Step 5.1
Subtract from both sides of the equation.
Step 5.2
To write as a fraction with a common denominator, multiply by .
Step 5.3
Combine and .
Step 5.4
Combine the numerators over the common denominator.
Step 5.5
Simplify the numerator.
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Step 5.5.1
Multiply by .
Step 5.5.2
Subtract from .
Step 5.6
Move the negative in front of the fraction.
Step 6
Divide each term in by and simplify.
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Step 6.1
Divide each term in by .
Step 6.2
Simplify the left side.
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Step 6.2.1
Cancel the common factor of .
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Step 6.2.1.1
Cancel the common factor.
Step 6.2.1.2
Divide by .
Step 6.3
Simplify the right side.
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Step 6.3.1
Multiply the numerator by the reciprocal of the denominator.
Step 6.3.2
Cancel the common factor of .
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Step 6.3.2.1
Move the leading negative in into the numerator.
Step 6.3.2.2
Factor out of .
Step 6.3.2.3
Factor out of .
Step 6.3.2.4
Cancel the common factor.
Step 6.3.2.5
Rewrite the expression.
Step 6.3.3
Multiply by .
Step 6.3.4
Simplify the expression.
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Step 6.3.4.1
Multiply by .
Step 6.3.4.2
Move the negative in front of the fraction.
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form: