SOLUTION: Solve 18/x-2 =4/3 Please help me with this, I have the answer I just don't know how to do it. The answer is 31/2

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Question 981683: Solve 18/x-2 =4/3
Please help me with this, I have the answer I just don't know how to do it.
The answer is 31/2
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
What you really have is ambiguous. The spacing in your text suggests you may actually have 18%2F%28x-2%29=4%2F3.

Multiply members by the LCD, 3%28x-2%29...

18%2A3%2A%28x-2%29%2F%28x-2%29=3%28x-2%29%284%2F3%29

18%2A3=%28x-2%29%2A4
%2818%2A3%29%2F4=x-2
x=%2818%2A3%29%2F4%2B2
x=13%261%2F2%2B2
highlight%28x=15%261%2F2%29--------I believe no mistakes made. You can check this solution by using the value in the given equation, the one I solved. Find if it works.


Did you really have by some chance, 18%2Fx-2=4%2F3 ?
(Reported, that NO. The first form solved was what was intended)
The following was not needed:
-
18%2Fx=4%2F3%2B6%2F3

18%2Fx=10%2F3

x%2F18=3%2F10

x=%283%2F10%29%2A18

x=%283%2F5%29%2A9

x=27%2F5

highlight%28x=5%262%2F5%29