SOLUTION: Can someone please tell me what I did wrong, IF I did indeed do anything wrong? This is the equation: (4x/x-2) = x+ (8/x-2) This is what I did to get my answer: (4x/x-2)

Question 241381: Can someone please tell me what I did wrong, IF I did indeed do anything wrong?
This is the equation:
(4x/x-2) = x+ (8/x-2)
This is what I did to get my answer:
(4x/x-2) = x+ (8/x-2)
4x = x(x-2) + 8
4x = - 2x + 8
-4x -4x
- 6x + 8
(x-4)(x-2)

Your help would be greatly appreciate, as I desperately need it!

Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(21583) (Show Source):
You can put this solution on YOUR website!
(4x/x-2) = x+ (8/x-2)
This is what I did to get my answer:
(4x/x-2) = x+ (8/x-2)
4x = x(x-2) + 8
----------------
4x = x^2 - 2x + 8
x^2 - 6x + 8 = 0
(x-4)*(x-2) = 0
x = 4
x = 2 (2 causes the dreaded "Divide by 0" error, so reject it)
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I don't see how you did, but you got to the same place.
4x = - 2x + 8
-4x -4x
- 6x + 8
(x-4)(x-2)

Answer by josmiceli(6783) (Show Source):
You can put this solution on YOUR website!
It's not absolutly clear what you're doing,
although you have the right idea

Multiply both sides by

The solutions are

These are the values that make the equation true
But the problem is that division by is not
allowed, so must be rejected
I'll test the solution

OK