Basic Math Examples

Solve for t (5t+1)/9=(t+4)/18+(t-2)/18
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
Multiply both sides by .
Step 3
Simplify.
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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
Combine the numerators over the common denominator.
Step 3.1.1.2
Add and .
Step 3.1.1.3
Subtract from .
Step 3.1.1.4
Factor out of .
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Step 3.1.1.4.1
Factor out of .
Step 3.1.1.4.2
Factor out of .
Step 3.1.1.4.3
Factor out of .
Step 3.1.1.5
Cancel the common factor of .
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Step 3.1.1.5.1
Factor out of .
Step 3.1.1.5.2
Cancel the common factor.
Step 3.1.1.5.3
Rewrite the expression.
Step 3.1.1.6
Cancel the common factor of .
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Step 3.1.1.6.1
Cancel the common factor.
Step 3.1.1.6.2
Divide by .
Step 3.2
Simplify the right side.
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Step 3.2.1
Cancel the common factor of .
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Step 3.2.1.1
Cancel the common factor.
Step 3.2.1.2
Rewrite the expression.
Step 4
Solve for .
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Step 4.1
Move all terms containing to the left side of the equation.
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Step 4.1.1
Subtract from both sides of the equation.
Step 4.1.2
Subtract from .
Step 4.2
Move all terms not containing to the right side of the equation.
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Step 4.2.1
Subtract from both sides of the equation.
Step 4.2.2
Subtract from .
Step 4.3
Divide each term in by and simplify.
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Step 4.3.1
Divide each term in by .
Step 4.3.2
Simplify the left side.
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Step 4.3.2.1
Cancel the common factor of .
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Step 4.3.2.1.1
Cancel the common factor.
Step 4.3.2.1.2
Divide by .
Step 4.3.3
Simplify the right side.
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Step 4.3.3.1
Divide by .