Pre-Algebra Examples

Solve for x 2/3x+1/3=2/5-1/3x+2/5
Step 1
Combine and .
Step 2
Simplify .
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Step 2.1
Combine the numerators over the common denominator.
Step 2.2
Add and .
Step 2.3
Combine and .
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
Combine the numerators over the common denominator.
Step 3.3
Add and .
Step 4
Multiply both sides by .
Step 5
Simplify.
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Step 5.1
Simplify the left side.
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Step 5.1.1
Cancel the common factor of .
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Step 5.1.1.1
Cancel the common factor.
Step 5.1.1.2
Rewrite the expression.
Step 5.2
Simplify the right side.
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Step 5.2.1
Multiply .
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Step 5.2.1.1
Combine and .
Step 5.2.1.2
Multiply by .
Step 6
Solve for .
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Step 6.1
Move all terms not containing to the right side of the equation.
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Step 6.1.1
Subtract from both sides of the equation.
Step 6.1.2
To write as a fraction with a common denominator, multiply by .
Step 6.1.3
Combine and .
Step 6.1.4
Combine the numerators over the common denominator.
Step 6.1.5
Simplify the numerator.
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Step 6.1.5.1
Multiply by .
Step 6.1.5.2
Subtract from .
Step 6.2
Divide each term in by and simplify.
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Step 6.2.1
Divide each term in by .
Step 6.2.2
Simplify the left side.
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Step 6.2.2.1
Cancel the common factor of .
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Step 6.2.2.1.1
Cancel the common factor.
Step 6.2.2.1.2
Divide by .
Step 6.2.3
Simplify the right side.
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Step 6.2.3.1
Multiply the numerator by the reciprocal of the denominator.
Step 6.2.3.2
Multiply .
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Step 6.2.3.2.1
Multiply by .
Step 6.2.3.2.2
Multiply by .
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form: