SOLUTION: Hey guys i was wondering if you guys could help me with this equation, please list the steps, im pretty confused. Thank you very much!! 5+(5/x-1)/5-(5/x-1), the answer to the so

Question 939790: Hey guys i was wondering if you guys could help me with this equation, please list the steps, im pretty confused. Thank you very much!!
5+(5/x-1)/5-(5/x-1), the answer to the solution is x/x-2 but i need to know how, thank you.
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
5 + [5/(x - 1)]
---------------
5 - [5/(x - 1)]

5 + [5/(x - 1)] (x - 1)
----------------x------- {multiplied numerator and denominator by (x - 1) to eliminate fractions}
5 - [5/(x - 1)] (x - 1)

5(x - 1) + 5
------------- {multiplied on top and bottom, eliminating fractions within a fraction}
5(x - 1) - 5

5x - 5 + 5
----------- {use distributive property on top and bottom}
5x - 5 - 5

5x
-------- {combined like terms on top and bottom}
5x - 10

5x
-------- {factored 5 out of denominator}
5(x - 2)

x
------ {cancelled the 5's}
x - 2

For more help from me, visit: www.algebrahouse.com

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