Finite Math Examples

Solve for x (2x-3)/4+x=(2x+3)/2+9
Step 1
Simplify .
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Step 1.1
To write as a fraction with a common denominator, multiply by .
Step 1.2
Simplify terms.
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Step 1.2.1
Combine and .
Step 1.2.2
Combine the numerators over the common denominator.
Step 1.3
Simplify the numerator.
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Step 1.3.1
Add and .
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Step 1.3.1.1
Reorder and .
Step 1.3.1.2
Add and .
Step 1.3.2
Factor out of .
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Step 1.3.2.1
Factor out of .
Step 1.3.2.2
Factor out of .
Step 1.3.2.3
Factor out of .
Step 2
Simplify .
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Step 2.1
To write as a fraction with a common denominator, multiply by .
Step 2.2
Simplify terms.
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Step 2.2.1
Combine and .
Step 2.2.2
Combine the numerators over the common denominator.
Step 2.3
Simplify the numerator.
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Step 2.3.1
Multiply by .
Step 2.3.2
Add and .
Step 3
Move all terms containing to the left side of the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
To write as a fraction with a common denominator, multiply by .
Step 3.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.3.1
Multiply by .
Step 3.3.2
Multiply by .
Step 3.4
Combine the numerators over the common denominator.
Step 3.5
Simplify the numerator.
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Step 3.5.1
Apply the distributive property.
Step 3.5.2
Multiply by .
Step 3.5.3
Multiply by .
Step 3.5.4
Apply the distributive property.
Step 3.5.5
Multiply by .
Step 3.5.6
Multiply by .
Step 3.5.7
Apply the distributive property.
Step 3.5.8
Multiply by .
Step 3.5.9
Multiply by .
Step 3.5.10
Subtract from .
Step 3.5.11
Subtract from .
Step 4
Set the numerator equal to zero.
Step 5
Solve the equation for .
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Step 5.1
Add to both sides of the equation.
Step 5.2
Divide each term in by and simplify.
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Step 5.2.1
Divide each term in by .
Step 5.2.2
Simplify the left side.
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Step 5.2.2.1
Cancel the common factor of .
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Step 5.2.2.1.1
Cancel the common factor.
Step 5.2.2.1.2
Divide by .
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: