# Solve for x 1/(x-a)+1/(x+a)=2/(x-1)

Solve for x 1/(x-a)+1/(x+a)=2/(x-1)
Find the LCD of the terms in the equation.
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
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 factor for is itself.
occurs time.
The factor for is itself.
occurs time.
The LCM of is the result of multiplying all factors the greatest number of times they occur in either term.
Multiply each term in by to eliminate the fractions.
Multiply each term in by .
Simplify the left side.
Simplify each term.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
Multiply by .
Move to the left of .
Rewrite as .
Move to the left of .
Rewrite as .
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
Multiply by .
Move to the left of .
Rewrite as .
Multiply .
Multiply by .
Multiply by .
Combine the opposite terms in .
Subtract from .
Subtract from .
Simplify the right side.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify terms.
Combine the opposite terms in .
Reorder the factors in the terms and .
Subtract from .
Simplify each term.
Multiply by .
Multiply by by adding the exponents.
Move .
Multiply by .
Simplify by multiplying through.
Apply the distributive property.
Multiply by .
Solve the equation.
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
Combine the opposite terms in .
Subtract from .