Pre-Algebra Examples

Solve for x -1/6*(x-12)+1/2*(x+2)=x+3
Step 1
Simplify .
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Step 1.1
Simplify each term.
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Step 1.1.1
Apply the distributive property.
Step 1.1.2
Combine and .
Step 1.1.3
Cancel the common factor of .
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Step 1.1.3.1
Move the leading negative in into the numerator.
Step 1.1.3.2
Factor out of .
Step 1.1.3.3
Cancel the common factor.
Step 1.1.3.4
Rewrite the expression.
Step 1.1.4
Multiply by .
Step 1.1.5
Apply the distributive property.
Step 1.1.6
Combine and .
Step 1.1.7
Cancel the common factor of .
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Step 1.1.7.1
Cancel the common factor.
Step 1.1.7.2
Rewrite the expression.
Step 1.2
To write as a fraction with a common denominator, multiply by .
Step 1.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 1.3.1
Multiply by .
Step 1.3.2
Multiply by .
Step 1.4
Combine the numerators over the common denominator.
Step 1.5
Add and .
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Step 1.5.1
Reorder and .
Step 1.5.2
Add and .
Step 1.6
Cancel the common factor of and .
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Step 1.6.1
Factor out of .
Step 1.6.2
Cancel the common factors.
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Step 1.6.2.1
Factor out of .
Step 1.6.2.2
Cancel the common factor.
Step 1.6.2.3
Rewrite the expression.
Step 1.7
Add and .
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 each term.
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Step 2.5.1
Simplify the numerator.
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Step 2.5.1.1
Factor out of .
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Step 2.5.1.1.1
Raise to the power of .
Step 2.5.1.1.2
Factor out of .
Step 2.5.1.1.3
Factor out of .
Step 2.5.1.1.4
Factor out of .
Step 2.5.1.2
Multiply by .
Step 2.5.1.3
Subtract from .
Step 2.5.2
Move to the left of .
Step 2.5.3
Move the negative in front of the fraction.
Step 3
Move all terms not containing to the right side of the equation.
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Step 3.1
Subtract from both sides of the equation.
Step 3.2
Subtract from .
Step 4
Set the numerator equal to zero.
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 .