Basic Math Examples

Solve for u -7=(5u-2)/-4
Step 1
Rewrite the equation as .
Step 2
Multiply both sides by .
Step 3
Simplify.
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Step 3.1
Simplify the left side.
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Step 3.1.1
Simplify .
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Step 3.1.1.1
Cancel the common factor of .
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Step 3.1.1.1.1
Factor out of .
Step 3.1.1.1.2
Factor out of .
Step 3.1.1.1.3
Cancel the common factor.
Step 3.1.1.1.4
Rewrite the expression.
Step 3.1.1.2
Combine and .
Step 3.1.1.3
Simplify the expression.
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Step 3.1.1.3.1
Move the negative one from the denominator of .
Step 3.1.1.3.2
Rewrite as .
Step 3.1.1.4
Apply the distributive property.
Step 3.1.1.5
Multiply.
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Step 3.1.1.5.1
Multiply by .
Step 3.1.1.5.2
Multiply by .
Step 3.1.1.6
Apply the distributive property.
Step 3.1.1.7
Multiply.
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Step 3.1.1.7.1
Multiply by .
Step 3.1.1.7.2
Multiply by .
Step 3.2
Simplify the right side.
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Step 3.2.1
Multiply by .
Step 4
Solve for .
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Step 4.1
Move all terms not containing to the right side of the equation.
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Step 4.1.1
Add to both sides of the equation.
Step 4.1.2
Add and .
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 4.2.3
Simplify the right side.
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Step 4.2.3.1
Divide by .