SOLUTION: solving linear equation (3x+5)/7 + (4x-9)/6 = 38x

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Question 1869: solving linear equation
(3x+5)/7 + (4x-9)/6 = 38x
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
Are you sure it is 38x?

mutiply every term by 42, so that this cancels out the 6 and the 7 on the denominators
42%28%283x%2B5%29%2F7%29+%2B+42%28%284x-9%29%2F6%29+=+42%2838x%29
6%283x%2B5%29+%2B+7%284x-9%29+=+42%2838x%29
18x+30 + 28x-63 = 1596x
46x-33 = 1596x
-33 = 1550x
just re-writing this the other way gives 1550x = -33.
Hence x = -33/1550

cheers
Jon