Basic Math Examples

Solve for t 2/3t-11=4(16-t)-1/3t
Step 1
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Step 2
Simplify .
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Step 2.1
Simplify each term.
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Step 2.1.1
Apply the distributive property.
Step 2.1.2
Multiply by .
Step 2.1.3
Multiply by .
Step 2.1.4
Combine and .
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Simplify terms.
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Step 2.3.1
Combine and .
Step 2.3.2
Combine the numerators over the common denominator.
Step 2.4
Simplify each term.
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Step 2.4.1
Simplify the numerator.
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Step 2.4.1.1
Factor out of .
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Step 2.4.1.1.1
Factor out of .
Step 2.4.1.1.2
Factor out of .
Step 2.4.1.1.3
Factor out of .
Step 2.4.1.2
Multiply by .
Step 2.4.1.3
Subtract from .
Step 2.4.2
Move to the left of .
Step 2.4.3
Move the negative in front of the fraction.
Step 3
Combine and .
Step 4
Move all terms containing to the left side of the equation.
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Step 4.1
Subtract from both sides of the equation.
Step 4.2
Combine the numerators over the common denominator.
Step 4.3
Subtract from .
Step 4.4
Cancel the common factor of and .
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Step 4.4.1
Factor out of .
Step 4.4.2
Cancel the common factors.
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Step 4.4.2.1
Factor out of .
Step 4.4.2.2
Cancel the common factor.
Step 4.4.2.3
Rewrite the expression.
Step 4.4.2.4
Divide by .
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
Subtract from .
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
Divide by .