SOLUTION: I'm just trying to find out how to solve this problem which is a rational expression: 5/(2x-4) - 3/(2-x)

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Question 56483: I'm just trying to find out how to solve this problem which is a rational expression:
5/(2x-4) - 3/(2-x)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
5%2F%282x-4%29-3%2F%282-x%29 In order to add or subtract fractions you must have a common denominator. First factor where you can:
5%2F%282%28x-2%29%29-3%2F%28-1%28x-2%29%29 The second fraction has a denominator with a factor of -1, mutliply the numerator and denominator by -1.
5%2F%282%28x-2%29%29-%28-1%29%283%29%2F%28%28-1%29%2A%28-1%29%28x-2%29%29
5%2F%282%28x-2%29%29%2B3%2F%28x-2%29 The LCD is 2(x-2), whatever you do to the denominators to get that you also have to do to the numerators.
5%2F%282%28x-2%29%29%2B%282%29%283%29%2F%282%28x-2%29%29
5%2F%282%28x-2%29%29%2B6%2F%282%28x-2%29%29 Now you can combine the numerators.
%285%2B6%29%2F%282%28x-2%29%29
highlight%2811%2F%282%28x-2%29%29%29
Happy Calculating!!!