SOLUTION: Solve the following: (3x-2)/5-(5x+1)/7=(x-11)/7

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Question 5220: Solve the following:
(3x-2)/5-(5x+1)/7=(x-11)/7
Answer by guapa(62) About Me  (Show Source):
You can put this solution on YOUR website!
%283x-2%29%2F5+-+%285x%2B1%29%2F7+=+%28x-11%29%2F7
First we need a common denominator to change the fractions to equavalent fractions and thus get rid of all fractions. In this case the common denominator is 35.
%283x-2%29%2A7%2F%285%2A7%29+-+%285x%2B1%29%2A5%2F%287%2A5%29+=+%28x-11%29%2A5%2F%287%2A5%29
7%283x-2%29-5%285x%2B1%29+=+5%28x-11%29
21x-14-25x-5 = 5x-55 Combine like terms
-4x-19 =5x-55
9x = 36
x= 4
Check:
%283%2A4-2%29%2F5+-+%285%2A4%2B1%29%2F7+=+%284-11%29%2F7
10%2F5+-+21%2F7+=+-7%2F7
2- 3 = -1
-1=-1