Pre-Algebra Examples

Solve for x x/3-x=6
Step 1
Simplify .
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Step 1.1
To write as a fraction with a common denominator, multiply by .
Step 1.2
Simplify terms.
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Step 1.2.1
Combine and .
Step 1.2.2
Combine the numerators over the common denominator.
Step 1.3
Simplify the numerator.
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Step 1.3.1
Factor out of .
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Step 1.3.1.1
Raise to the power of .
Step 1.3.1.2
Factor out of .
Step 1.3.1.3
Factor out of .
Step 1.3.1.4
Factor out of .
Step 1.3.2
Multiply by .
Step 1.3.3
Subtract from .
Step 1.4
Simplify the expression.
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Step 1.4.1
Move to the left of .
Step 1.4.2
Move the negative in front of the fraction.
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
Cancel the common factor of .
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Step 3.1.1.1.1
Move the leading negative in into the numerator.
Step 3.1.1.1.2
Move the leading negative in into the numerator.
Step 3.1.1.1.3
Factor out of .
Step 3.1.1.1.4
Cancel the common factor.
Step 3.1.1.1.5
Rewrite the expression.
Step 3.1.1.2
Cancel the common factor of .
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Step 3.1.1.2.1
Factor out of .
Step 3.1.1.2.2
Cancel the common factor.
Step 3.1.1.2.3
Rewrite the expression.
Step 3.1.1.3
Multiply.
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Step 3.1.1.3.1
Multiply by .
Step 3.1.1.3.2
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
Cancel the common factor of .
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Step 3.2.1.1.1
Move the leading negative in into the numerator.
Step 3.2.1.1.2
Factor out of .
Step 3.2.1.1.3
Cancel the common factor.
Step 3.2.1.1.4
Rewrite the expression.
Step 3.2.1.2
Multiply by .