Pre-Algebra Examples

Solve for x 5/2x-1/3=-1/2
Step 1
Combine and .
Step 2
Move all terms not containing to the right side of the equation.
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Step 2.1
Add to both sides of the equation.
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
To write as a fraction with a common denominator, multiply by .
Step 2.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 2.4.1
Multiply by .
Step 2.4.2
Multiply by .
Step 2.4.3
Multiply by .
Step 2.4.4
Multiply by .
Step 2.5
Combine the numerators over the common denominator.
Step 2.6
Add and .
Step 2.7
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
Cancel the common factor.
Step 4.1.1.1.2
Rewrite the expression.
Step 4.1.1.2
Cancel the common factor of .
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Step 4.1.1.2.1
Factor out of .
Step 4.1.1.2.2
Cancel the common factor.
Step 4.1.1.2.3
Rewrite the expression.
Step 4.2
Simplify the right side.
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Step 4.2.1
Simplify .
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Step 4.2.1.1
Cancel the common factor of .
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Step 4.2.1.1.1
Move the leading negative in into the numerator.
Step 4.2.1.1.2
Factor out of .
Step 4.2.1.1.3
Cancel the common factor.
Step 4.2.1.1.4
Rewrite the expression.
Step 4.2.1.2
Multiply by .
Step 4.2.1.3
Simplify the expression.
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Step 4.2.1.3.1
Multiply by .
Step 4.2.1.3.2
Move the negative in front of the fraction.
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: