Basic Math Examples

Solve for q q/5+2/5=(2q)/7-11/7
Step 1
Move all terms containing to the left side of the equation.
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Step 1.1
Subtract from both sides of the equation.
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
To write as a fraction with a common denominator, multiply by .
Step 1.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.4.1
Multiply by .
Step 1.4.2
Multiply by .
Step 1.4.3
Multiply by .
Step 1.4.4
Multiply by .
Step 1.5
Combine the numerators over the common denominator.
Step 1.6
Simplify each term.
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Step 1.6.1
Simplify the numerator.
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Step 1.6.1.1
Factor out of .
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Step 1.6.1.1.1
Factor out of .
Step 1.6.1.1.2
Factor out of .
Step 1.6.1.1.3
Factor out of .
Step 1.6.1.2
Multiply by .
Step 1.6.1.3
Subtract from .
Step 1.6.2
Move to the left of .
Step 1.6.3
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
Subtract from 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
Simplify the numerator.
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Step 2.6.1
Multiply by .
Step 2.6.2
Multiply by .
Step 2.6.3
Subtract from .
Step 2.7
Move the negative in front of the fraction.
Step 3
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
Step 4
Divide each term in by and simplify.
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Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
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Step 4.3.1
Divide by .