SOLUTION: Please help me solve for x in this problem 3/(5x)-4/(3x)=7 Thanks

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Question 197480: Please help me solve for x in this problem
3/(5x)-4/(3x)=7
Thanks
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
3%2F%285x%29-4%2F%283x%29=7
Note that x can't be 0, since that would mean
dividing by 0, which is prohibited
Multiply both sides by 15x, the LCD
9+-+20+=+105x
105x+=+-11
x+=+-11%2F105
check answer:
3%2F%285%2A%28-11%2F105%29%29+-+4%2F%283%2A%28-11%2F105%29%29+=+7
Multiply both sides by -11%2F105
3%2F5+-+4%2F3+=+-77%2F105
Multiply both sides by 105
63+-+140+=+-77
-77+=+-77
OK