# Algebra Examples

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Move all terms not containing to the right side of the equation.

Subtract from both sides of the equation.

Subtract from both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Simplify the left side of the by cancelling the common factors.

Reduce the expression by cancelling the common factors.

Factor out of .

Move the negative one from the denominator of .

Simplify the expression.

Multiply by .

Rewrite as .

Simplify each term.

Move the negative in front of the fraction.

Simplify .

Multiply by .

Multiply by .

Move the negative in front of the fraction.

Simplify .

Multiply by .

Multiply by .

Simplify the left side.

Simplify each term.

Apply the distributive property.

Simplify .

Write as a fraction with denominator .

Multiply and .

Simplify .

Write as a fraction with denominator .

Multiply and .

Multiply by .

Simplify each term.

Move the negative in front of the fraction.

Multiply by .

Move the negative in front of the fraction.

Multiply by .

Remove unnecessary parentheses.

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Simplify each term.

Simplify the numerator.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Multiply by .

Multiply by .

Subtract from .

Multiply by .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Simplify each term.

Simplify the numerator.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Multiply by .

Multiply by .

Subtract from .

Move to the left of the expression .

Move the negative in front of the fraction.

Multiply by .

Multiply by .

Subtract from both sides of the equation.

Solve for .

Multiply both sides of the equation by .

Simplify the right side.

Cancel the common factor of .

Rewrite.

Write as a fraction with denominator .

Factor out the greatest common factor .

Cancel the common factor.

Rewrite the expression.

Simplify.

Multiply and .

Divide by .

Divide each term by and simplify.

Divide each term in by .

Simplify the left side of the by cancelling the common factors.

Reduce the expression by cancelling the common factors.

Factor out of .

Move the negative one from the denominator of .

Simplify the expression.

Multiply by .

Rewrite as .

Move the negative in front of the fraction.

Simplify each term.

Multiply by .

Simplify the numerator.

Write as a fraction with denominator .

Multiply and .

Multiply the numerator by the reciprocal of the denominator.

Simplify .

Multiply and .

Multiply by .

To write as a fraction with a common denominator, multiply by .

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

Move to the left of the expression .

Multiply by .

Add and .

Reduce the expression by cancelling the common factors.

Factor out of .

Cancel the common factors.

Factor out of .

Cancel the common factor.

Rewrite the expression.