Finite Math Examples

Solve for x (4x+2)/9-(3x-5)/5=x
Step 1
Simplify .
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Step 1.1
Factor out of .
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Step 1.1.1
Factor out of .
Step 1.1.2
Factor out of .
Step 1.1.3
Factor out of .
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
To write as a fraction with a common denominator, multiply by .
Step 1.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.4.1
Multiply by .
Step 1.4.2
Multiply by .
Step 1.4.3
Multiply by .
Step 1.4.4
Multiply by .
Step 1.5
Combine the numerators over the common denominator.
Step 1.6
Simplify the numerator.
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Step 1.6.1
Apply the distributive property.
Step 1.6.2
Multiply by .
Step 1.6.3
Multiply by .
Step 1.6.4
Apply the distributive property.
Step 1.6.5
Multiply by .
Step 1.6.6
Multiply by .
Step 1.6.7
Apply the distributive property.
Step 1.6.8
Multiply by .
Step 1.6.9
Multiply by .
Step 1.6.10
Apply the distributive property.
Step 1.6.11
Multiply by .
Step 1.6.12
Multiply by .
Step 1.6.13
Subtract from .
Step 1.6.14
Add and .
Step 1.7
Simplify with factoring out.
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Step 1.7.1
Factor out of .
Step 1.7.2
Rewrite as .
Step 1.7.3
Factor out of .
Step 1.7.4
Simplify the expression.
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Step 1.7.4.1
Rewrite as .
Step 1.7.4.2
Move the negative in front of the fraction.
Step 2
Move all terms containing to the left side of the equation.
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Step 2.1
Subtract from both sides of the equation.
Step 2.2
To write as a fraction with a common denominator, multiply by .
Step 2.3
Combine and .
Step 2.4
Combine the numerators over the common denominator.
Step 2.5
Simplify the numerator.
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Step 2.5.1
Apply the distributive property.
Step 2.5.2
Multiply by .
Step 2.5.3
Multiply by .
Step 2.5.4
Multiply by .
Step 2.5.5
Subtract from .
Step 2.6
Factor out of .
Step 2.7
Rewrite as .
Step 2.8
Factor out of .
Step 2.9
Rewrite as .
Step 2.10
Move the negative in front of the fraction.
Step 3
Set the numerator equal to zero.
Step 4
Solve the equation for .
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Step 4.1
Add to both sides of the equation.
Step 4.2
Divide each term in by and simplify.
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Step 4.2.1
Divide each term in by .
Step 4.2.2
Simplify the left side.
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Step 4.2.2.1
Cancel the common factor of .
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Step 4.2.2.1.1
Cancel the common factor.
Step 4.2.2.1.2
Divide by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: