Pre-Algebra Examples

Solve for x 7/3*(x+9/28)=20
Step 1
Multiply both sides of the equation by .
Step 2
Simplify both sides of the equation.
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Step 2.1
Simplify the left side.
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Step 2.1.1
Simplify .
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Step 2.1.1.1
Apply the distributive property.
Step 2.1.1.2
Combine and .
Step 2.1.1.3
Cancel the common factor of .
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Step 2.1.1.3.1
Factor out of .
Step 2.1.1.3.2
Cancel the common factor.
Step 2.1.1.3.3
Rewrite the expression.
Step 2.1.1.4
Cancel the common factor of .
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Step 2.1.1.4.1
Factor out of .
Step 2.1.1.4.2
Cancel the common factor.
Step 2.1.1.4.3
Rewrite the expression.
Step 2.1.1.5
Apply the distributive property.
Step 2.1.1.6
Cancel the common factor of .
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Step 2.1.1.6.1
Cancel the common factor.
Step 2.1.1.6.2
Rewrite the expression.
Step 2.1.1.7
Cancel the common factor of .
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Step 2.1.1.7.1
Factor out of .
Step 2.1.1.7.2
Cancel the common factor.
Step 2.1.1.7.3
Rewrite the expression.
Step 2.1.1.8
Multiply .
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Step 2.1.1.8.1
Multiply by .
Step 2.1.1.8.2
Multiply by .
Step 2.1.1.8.3
Multiply by .
Step 2.2
Simplify the right side.
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Step 2.2.1
Multiply .
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Step 2.2.1.1
Combine and .
Step 2.2.1.2
Multiply by .
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
To write as a fraction with a common denominator, multiply by .
Step 3.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Step 3.3.1
Multiply by .
Step 3.3.2
Multiply by .
Step 3.4
Combine the numerators over the common denominator.
Step 3.5
Simplify the numerator.
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Step 3.5.1
Multiply by .
Step 3.5.2
Subtract from .
Step 3.6
Cancel the common factor of and .
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Step 3.6.1
Factor out of .
Step 3.6.2
Cancel the common factors.
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Step 3.6.2.1
Factor out of .
Step 3.6.2.2
Cancel the common factor.
Step 3.6.2.3
Rewrite the expression.
Step 4
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: