Algebra Examples

Solve for x (5(x-9))/4=(4(x+9))/5
Step 1
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
Step 2
Solve the equation for .
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Step 2.1
Simplify .
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Step 2.1.1
Rewrite.
Step 2.1.2
Simplify by adding zeros.
Step 2.1.3
Apply the distributive property.
Step 2.1.4
Multiply by .
Step 2.1.5
Apply the distributive property.
Step 2.1.6
Multiply.
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Step 2.1.6.1
Multiply by .
Step 2.1.6.2
Multiply by .
Step 2.2
Simplify .
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Step 2.2.1
Apply the distributive property.
Step 2.2.2
Multiply by .
Step 2.2.3
Apply the distributive property.
Step 2.2.4
Multiply.
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Step 2.2.4.1
Multiply by .
Step 2.2.4.2
Multiply by .
Step 2.3
Move all terms containing to the left side of the equation.
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Step 2.3.1
Subtract from both sides of the equation.
Step 2.3.2
Subtract from .
Step 2.4
Move all terms not containing to the right side of the equation.
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Step 2.4.1
Add to both sides of the equation.
Step 2.4.2
Add and .
Step 2.5
Divide each term in by and simplify.
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Step 2.5.1
Divide each term in by .
Step 2.5.2
Simplify the left side.
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Step 2.5.2.1
Cancel the common factor of .
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Step 2.5.2.1.1
Cancel the common factor.
Step 2.5.2.1.2
Divide by .
Step 2.5.3
Simplify the right side.
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Step 2.5.3.1
Divide by .