Basic Math Examples

Solve for g (7g-21)/3-(2g-7)/4+1=5g-2
Step 1
Simplify .
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Step 1.1
Find the common denominator.
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Step 1.1.1
Multiply by .
Step 1.1.2
Multiply by .
Step 1.1.3
Multiply by .
Step 1.1.4
Multiply by .
Step 1.1.5
Write as a fraction with denominator .
Step 1.1.6
Multiply by .
Step 1.1.7
Multiply by .
Step 1.1.8
Multiply by .
Step 1.1.9
Reorder the factors of .
Step 1.1.10
Multiply by .
Step 1.2
Combine the numerators over the common denominator.
Step 1.3
Simplify each term.
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Step 1.3.1
Apply the distributive property.
Step 1.3.2
Multiply by .
Step 1.3.3
Multiply by .
Step 1.3.4
Apply the distributive property.
Step 1.3.5
Multiply by .
Step 1.3.6
Multiply by .
Step 1.3.7
Apply the distributive property.
Step 1.3.8
Multiply by .
Step 1.3.9
Multiply by .
Step 1.4
Simplify by adding terms.
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Step 1.4.1
Subtract from .
Step 1.4.2
Simplify by adding numbers.
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Step 1.4.2.1
Add and .
Step 1.4.2.2
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 the numerator.
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Step 2.5.1
Multiply by .
Step 2.5.2
Subtract from .
Step 2.6
Factor out of .
Step 2.7
Rewrite as .
Step 2.8
Factor out of .
Step 2.9
Rewrite as .
Step 2.10
Move the negative in front of the fraction.
Step 3
Multiply both sides of the equation by .
Step 4
Simplify both sides of the equation.
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Step 4.1
Simplify the left side.
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Step 4.1.1
Simplify .
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Step 4.1.1.1
Cancel the common factor of .
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Step 4.1.1.1.1
Move the leading negative in into the numerator.
Step 4.1.1.1.2
Factor out of .
Step 4.1.1.1.3
Cancel the common factor.
Step 4.1.1.1.4
Rewrite the expression.
Step 4.1.1.2
Multiply.
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Step 4.1.1.2.1
Multiply by .
Step 4.1.1.2.2
Multiply by .
Step 4.2
Simplify the right side.
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Step 4.2.1
Multiply by .
Step 5
Move all terms not containing to the right side of the equation.
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Step 5.1
Subtract from both sides of the equation.
Step 5.2
Subtract from .
Step 6
Divide each term in by and simplify.
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Step 6.1
Divide each term in by .
Step 6.2
Simplify the left side.
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Step 6.2.1
Cancel the common factor of .
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Step 6.2.1.1
Cancel the common factor.
Step 6.2.1.2
Divide by .
Step 6.3
Simplify the right side.
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Step 6.3.1
Move the negative in front of the fraction.
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form: