Move to the left side of the equation by subtracting it from both sides.

To write as a fraction with a common denominator, 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 .

Multiply and .

Multiply and .

Reorder the factors of .

Combine the numerators over the common denominator.

Add and .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

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 .

Multiply and .

Reorder the factors of .

Combine the numerators over the common denominator.

Simplify the numerator.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Reduce the expression by cancelling the common factors.

Cancel the common factor of and .

Rewrite as .

Factor out of .

Factor out of .

Reorder terms.

Cancel the common factor.

Rewrite the expression.

Simplify the expression.

Move to the left of .

Move the negative in front of the fraction.

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

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

Multiply and .

Multiply and .

Reorder the factors of .

Combine the numerators over the common denominator.

Add and .

Factor out of .

Factor out of .

Factor out of .

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

Multiply and .

Reorder the factors of .

Combine the numerators over the common denominator.

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Rewrite as .

Cancel the common factor of and .

Rewrite as .

Factor out of .

Factor out of .

Reorder terms.

Cancel the common factor.

Rewrite the expression.

Simplify the expression.

Move to the left of .

Move the negative in front of the fraction.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

Since contain both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part then find LCM for the variable part .

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

The number is not a prime number because it only has one positive factor, which is itself.

Not prime

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.

The factor for is itself.

occurs time.

The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either term.

Multiply each term in by in order to remove all the denominators from the equation.

Simplify .

Cancel the common factor of .

Move the leading negative in into the numerator.

Cancel the common factor.

Rewrite the expression.

Apply the distributive property.

Multiply by .

Multiply by .

Subtract from both sides of the equation.

Multiply each term in by

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Multiply by .

Solve by Factoring 2/(x-3)+1/x=(x-1)/(x-3)