Question 53704:  I'm attempting to solve: 
4/5 x - 2/3 = 3x + 1 /2
 
I came up with an answer of -5/3, but it doesn't check properly. 
I came up with - 5/3 by multiplying both sides by 30, that left me with 24x - 20 = 45x + 15, subtracted 20 from sides and then subtracted 45x from both sides and was left with -21x = 35.  Divided both sides by -21 and got - 35/21, which simplifies to  - 5/3.  However, when I attempt to check the problem by plugging in that answer it is incorrect.
 
Any help here would be great! 
Karen 
 Answer by stanbon(75887)      (Show Source): 
You can  put this solution on YOUR website! (4/5) x - (2/3) = 3x + (1/2) 
Multiply thru by 30 to get: 
24x - 20 = 90x +15 
66x=-35 
x=-35/66 
This answer checks out. 
------------------- 
Comment:  
It may be that your original problem 
is really the following: 
(4/5)x-(2/3) = (3x+1)/2 
If you are given an answer for your problem 
and it is not -35/66 you might try solving 
this alternate form of your problem. 
Cheers, 
Stan H.
 
  
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