Basic Math Examples

Solve for c 1/2*(c-2)+1/4*(2c+1)=5/4
Step 1
Simplify .
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Step 1.1
Simplify each term.
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Step 1.1.1
Apply the distributive property.
Step 1.1.2
Combine and .
Step 1.1.3
Cancel the common factor of .
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Step 1.1.3.1
Factor out of .
Step 1.1.3.2
Cancel the common factor.
Step 1.1.3.3
Rewrite the expression.
Step 1.1.4
Apply the distributive property.
Step 1.1.5
Cancel the common factor of .
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Step 1.1.5.1
Factor out of .
Step 1.1.5.2
Factor out of .
Step 1.1.5.3
Cancel the common factor.
Step 1.1.5.4
Rewrite the expression.
Step 1.1.6
Combine and .
Step 1.1.7
Multiply by .
Step 1.2
Simplify terms.
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Step 1.2.1
Combine the numerators over the common denominator.
Step 1.2.2
Add and .
Step 1.2.3
Cancel the common factor of .
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Step 1.2.3.1
Cancel the common factor.
Step 1.2.3.2
Divide by .
Step 1.3
To write as a fraction with a common denominator, multiply by .
Step 1.4
Combine and .
Step 1.5
Combine the numerators over the common denominator.
Step 1.6
Simplify the numerator.
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Step 1.6.1
Multiply by .
Step 1.6.2
Add and .
Step 1.7
Move the negative in front of the fraction.
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
Combine the numerators over the common denominator.
Step 2.3
Add and .
Step 2.4
Divide by .