Basic Math Examples

Solve for r (3r+8)/9=(2r-12)/2
Step 1
Multiply both sides by .
Step 2
Simplify.
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Step 2.1
Simplify the left side.
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Step 2.1.1
Cancel the common factor of .
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Step 2.1.1.1
Cancel the common factor.
Step 2.1.1.2
Rewrite the expression.
Step 2.2
Simplify the right side.
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Step 2.2.1
Simplify .
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Step 2.2.1.1
Factor out of .
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Step 2.2.1.1.1
Factor out of .
Step 2.2.1.1.2
Factor out of .
Step 2.2.1.1.3
Factor out of .
Step 2.2.1.2
Cancel the common factor of .
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Step 2.2.1.2.1
Cancel the common factor.
Step 2.2.1.2.2
Divide by .
Step 2.2.1.3
Apply the distributive property.
Step 2.2.1.4
Simplify the expression.
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Step 2.2.1.4.1
Move to the left of .
Step 2.2.1.4.2
Multiply by .
Step 3
Solve for .
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Step 3.1
Move all terms containing to the left side of the equation.
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Step 3.1.1
Subtract from both sides of the equation.
Step 3.1.2
Subtract from .
Step 3.2
Move all terms not containing to the right side of the equation.
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Step 3.2.1
Subtract from both sides of the equation.
Step 3.2.2
Subtract from .
Step 3.3
Divide each term in by and simplify.
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Step 3.3.1
Divide each term in by .
Step 3.3.2
Simplify the left side.
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Step 3.3.2.1
Cancel the common factor of .
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Step 3.3.2.1.1
Cancel the common factor.
Step 3.3.2.1.2
Divide by .
Step 3.3.3
Simplify the right side.
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Step 3.3.3.1
Cancel the common factor of and .
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Step 3.3.3.1.1
Factor out of .
Step 3.3.3.1.2
Cancel the common factors.
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Step 3.3.3.1.2.1
Factor out of .
Step 3.3.3.1.2.2
Cancel the common factor.
Step 3.3.3.1.2.3
Rewrite the expression.
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: