Basic Math Examples

Solve for t -1/2*(t+9)+5 3/4*t=3/8t
Step 1
Simplify the left side.
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Step 1.1
Simplify .
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Step 1.1.1
Convert to an improper fraction.
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Step 1.1.1.1
A mixed number is an addition of its whole and fractional parts.
Step 1.1.1.2
Add and .
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Step 1.1.1.2.1
To write as a fraction with a common denominator, multiply by .
Step 1.1.1.2.2
Combine and .
Step 1.1.1.2.3
Combine the numerators over the common denominator.
Step 1.1.1.2.4
Simplify the numerator.
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Step 1.1.1.2.4.1
Multiply by .
Step 1.1.1.2.4.2
Add and .
Step 1.1.2
Simplify each term.
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Step 1.1.2.1
Apply the distributive property.
Step 1.1.2.2
Combine and .
Step 1.1.2.3
Multiply .
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Step 1.1.2.3.1
Multiply by .
Step 1.1.2.3.2
Combine and .
Step 1.1.2.4
Move the negative in front of the fraction.
Step 1.1.2.5
Combine and .
Step 1.1.3
To write as a fraction with a common denominator, multiply by .
Step 1.1.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.1.4.1
Multiply by .
Step 1.1.4.2
Multiply by .
Step 1.1.5
Combine the numerators over the common denominator.
Step 1.1.6
Simplify each term.
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Step 1.1.6.1
Simplify the numerator.
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Step 1.1.6.1.1
Factor out of .
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Step 1.1.6.1.1.1
Factor out of .
Step 1.1.6.1.1.2
Factor out of .
Step 1.1.6.1.1.3
Factor out of .
Step 1.1.6.1.2
Multiply by .
Step 1.1.6.1.3
Add and .
Step 1.1.6.2
Move to the left of .
Step 2
Simplify the right side.
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Step 2.1
Combine and .
Step 3
Multiply both sides by .
Step 4
Simplify.
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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
Apply the distributive property.
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 4.1.1.3
Multiply by .
Step 4.1.1.4
Cancel the common factor of .
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Step 4.1.1.4.1
Move the leading negative in into the numerator.
Step 4.1.1.4.2
Factor out of .
Step 4.1.1.4.3
Cancel the common factor.
Step 4.1.1.4.4
Rewrite the expression.
Step 4.1.1.5
Multiply by .
Step 4.2
Simplify the right 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
Rewrite the expression.
Step 5
Solve for .
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Step 5.1
Move all terms containing to the left side of the equation.
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Step 5.1.1
Subtract from both sides of the equation.
Step 5.1.2
Subtract from .
Step 5.2
Add to both sides of the equation.
Step 5.3
Divide each term in by and simplify.
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Step 5.3.1
Divide each term in by .
Step 5.3.2
Simplify the left side.
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Step 5.3.2.1
Cancel the common factor of .
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Step 5.3.2.1.1
Cancel the common factor.
Step 5.3.2.1.2
Divide by .
Step 5.3.3
Simplify the right side.
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Step 5.3.3.1
Cancel the common factor of and .
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Step 5.3.3.1.1
Factor out of .
Step 5.3.3.1.2
Cancel the common factors.
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Step 5.3.3.1.2.1
Factor out of .
Step 5.3.3.1.2.2
Cancel the common factor.
Step 5.3.3.1.2.3
Rewrite the expression.
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form: