How do you solve #2/(x-1) - 2/3 =4/(x+1)#?
Make a common denominator of all the fractions. The obvious choice is to make every denominator
So, we multiply top and bottom of each fraction by the appropriate part of the required denominator:
Because everything is over a common denominator, we can ignore it and focus on the numerators.
We've arrived at a simple quadratic, can solve by factorisation but for completeness we'll use the quadratic formula.
Have a = 2, b = 6, c = -20.