SOLUTION: I need help on a question. The correct answer is 3 but I can't figure out the explination on how they got the answer: Solve for X: X-6/x - x+6/x-6 = 6/x

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I need help on a question. The correct answer is 3 but I can't figure out the explination on how they got the answer: Solve for X: X-6/x - x+6/x-6 = 6/x      Log On


   

Question 2248: I need help on a question. The correct answer is 3 but I can't figure out the explination on how they got the answer:
Solve for X:
X-6/x - x+6/x-6 = 6/x
Found 2 solutions by longjonsilver, Robee16:
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
i am assuming that the first numerator is x-6 and not just 6...
%28x-6%29%2F%28x%29+-+%28x%2B6%29%2F%28x-6%29+=+6%2Fx
First thing...get rid of the fractions by multiplying everything by x(x-6):

this gives...%28x-6%29%28x-6%29+-+x%28x%2B6%29+=+6%28x-6%29
So, now, x%5E2-12x%2B36+-+x%5E2-6x+=+6x-36
-24x = -72
x=3
Always check your answer..put x=3 into the original and make sure that the Left side does equal the right side.
jon

Answer by Robee16(18) About Me  (Show Source):
You can put this solution on YOUR website!
>> x%28x-6%29%28x-6%29%2Fx - x%28x-6%29%28x%2B6%29%2F%28x-6%29 = x%28x-6%29%286%29%2Fx

>> %28x-6%29%28x-6%29 - x%28x%2B6%29 = %28x-6%29%286%29

>> x%5E2-6x-6x%2B36 - x%5E2-6x = 6x-36

>> x%5E2-12x%2B36 - x%5E2-6x = 6x-36

>> x%5E2+-+x%5E2+-+12x+-+6x+%2B+36 = 6x-36

>> -18x+%2B+36 = 6x-36

>> -18x+-+6x = -36+-+36

>> -24x = -72

>> -24x%2F-24 = -72%2F-24

>> x = 3