SOLUTION: How do you algebraically find the largest solution to: (2/(x-1))+5 = 3x/(x+4) I tried multiplying the left side by the LCD:(x+4) and the right side by LCD:(x-1) but that didn't

Question 883704: How do you algebraically find the largest solution to: (2/(x-1))+5 = 3x/(x+4)
I tried multiplying the left side by the LCD:(x+4) and the right side by LCD:(x-1) but that didn't work
Then I tried multiplying both side by each LCD :(x+4)(x-1) without cancelling and that didn't work either.
The answer should be 0.567 but I can't get it so I must be doing something wrong algebraically.
Thanks!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(2/(x-1))+5 = 3x/(x+4)
I tried multiplying the left side by the LCD:(x+4) and the right side by LCD:(x-1) but that didn't work
Then I tried multiplying both side by each LCD :(x+4)(x-1) without cancelling and that didn't work either.
The answer should be 0.567 but I can't get it so I must be doing something wrong algebraically.
===================
(2/(x-1))+5 = 3x/(x+4)
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I tried multiplying the left side by the LCD:(x+4) and the right side by LCD:(x-1) but that didn't work
The LCD is not one or the other, it's (x-1)*(x+4)
Multiply all terms by that.
--> 2(x+4) + 5(x-1)*(x+4) = 3x*(x-1)
Can you go from there?
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Show what you did.

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