Pre-Algebra Examples

Solve for x 9/5*(x+7)=-10/4*(x+4)
Step 1
Simplify .
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Step 1.1
Rewrite.
Step 1.2
Simplify by adding zeros.
Step 1.3
Apply the distributive property.
Step 1.4
Combine and .
Step 1.5
Multiply .
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Step 1.5.1
Combine and .
Step 1.5.2
Multiply by .
Step 2
Simplify .
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Step 2.1
Simplify terms.
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Step 2.1.1
Cancel the common factor of and .
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Step 2.1.1.1
Factor out of .
Step 2.1.1.2
Cancel the common factors.
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Step 2.1.1.2.1
Factor out of .
Step 2.1.1.2.2
Cancel the common factor.
Step 2.1.1.2.3
Rewrite the expression.
Step 2.1.2
Move the negative in front of the fraction.
Step 2.1.3
Apply the distributive property.
Step 2.1.4
Combine and .
Step 2.1.5
Cancel the common factor of .
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Step 2.1.5.1
Move the leading negative in into the numerator.
Step 2.1.5.2
Factor out of .
Step 2.1.5.3
Cancel the common factor.
Step 2.1.5.4
Rewrite the expression.
Step 2.1.6
Multiply by .
Step 2.2
Move to the left of .
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
To write as a fraction with a common denominator, multiply by .
Step 3.3
To write as a fraction with a common denominator, multiply by .
Step 3.4
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.4.1
Multiply by .
Step 3.4.2
Multiply by .
Step 3.4.3
Multiply by .
Step 3.4.4
Multiply by .
Step 3.5
Combine the numerators over the common denominator.
Step 3.6
Simplify each term.
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Step 3.6.1
Simplify the numerator.
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Step 3.6.1.1
Factor out of .
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Step 3.6.1.1.1
Factor out of .
Step 3.6.1.1.2
Factor out of .
Step 3.6.1.1.3
Factor out of .
Step 3.6.1.2
Multiply by .
Step 3.6.1.3
Multiply by .
Step 3.6.1.4
Add and .
Step 3.6.2
Move to the left of .
Step 4
Move all terms not containing to the right side of the equation.
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Step 4.1
Subtract from both sides of the equation.
Step 4.2
To write as a fraction with a common denominator, multiply by .
Step 4.3
Combine and .
Step 4.4
Combine the numerators over the common denominator.
Step 4.5
Simplify the numerator.
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Step 4.5.1
Multiply by .
Step 4.5.2
Subtract from .
Step 4.6
Move the negative in front of the fraction.
Step 5
Multiply both sides of the equation by .
Step 6
Simplify both sides of the equation.
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Step 6.1
Simplify the left side.
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Step 6.1.1
Simplify .
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Step 6.1.1.1
Cancel the common factor of .
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Step 6.1.1.1.1
Cancel the common factor.
Step 6.1.1.1.2
Rewrite the expression.
Step 6.1.1.2
Cancel the common factor of .
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Step 6.1.1.2.1
Factor out of .
Step 6.1.1.2.2
Cancel the common factor.
Step 6.1.1.2.3
Rewrite the expression.
Step 6.2
Simplify the right side.
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Step 6.2.1
Simplify .
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Step 6.2.1.1
Cancel the common factor of .
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Step 6.2.1.1.1
Move the leading negative in into the numerator.
Step 6.2.1.1.2
Factor out of .
Step 6.2.1.1.3
Cancel the common factor.
Step 6.2.1.1.4
Rewrite the expression.
Step 6.2.1.2
Combine and .
Step 6.2.1.3
Simplify the expression.
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Step 6.2.1.3.1
Multiply by .
Step 6.2.1.3.2
Move the negative in front of the fraction.
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: