Algebra Examples

Solve for p -p-13=-4/3p+2/3(5p-6)
Step 1
Since is on the right side of the equation, switch the sides so it is on the left side of the equation.
Step 2
Simplify .
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Step 2.1
Simplify each term.
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Step 2.1.1
Combine and .
Step 2.1.2
Move to the left of .
Step 2.1.3
Apply the distributive property.
Step 2.1.4
Multiply .
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Step 2.1.4.1
Combine and .
Step 2.1.4.2
Multiply by .
Step 2.1.4.3
Combine and .
Step 2.1.5
Cancel the common factor of .
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Step 2.1.5.1
Factor out of .
Step 2.1.5.2
Cancel the common factor.
Step 2.1.5.3
Rewrite the expression.
Step 2.1.6
Multiply by .
Step 2.2
Simplify terms.
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Step 2.2.1
Combine the numerators over the common denominator.
Step 2.2.2
Add and .
Step 2.2.3
Cancel the common factor of and .
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Step 2.2.3.1
Factor out of .
Step 2.2.3.2
Cancel the common factors.
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Step 2.2.3.2.1
Factor out of .
Step 2.2.3.2.2
Cancel the common factor.
Step 2.2.3.2.3
Rewrite the expression.
Step 2.2.3.2.4
Divide by .
Step 3
Move all terms containing to the left side of the equation.
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Step 3.1
Add to both sides of the equation.
Step 3.2
Add and .
Step 4
Move all terms not containing to the right side of the equation.
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Step 4.1
Add to both sides of the equation.
Step 4.2
Add and .
Step 5
Divide each term in by and simplify.
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Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
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Step 5.2.1
Cancel the common factor of .
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Step 5.2.1.1
Cancel the common factor.
Step 5.2.1.2
Divide by .
Step 5.3
Simplify the right side.
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Step 5.3.1
Divide by .