SOLUTION: Can somebody help me solve the equation {{{5/(2x-3)=3/(x+5)}}}

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Question 156176This question is from textbook college algebra
: Can somebody help me solve the equation 5%2F%282x-3%29=3%2F%28x%2B5%29 This question is from textbook college algebra

Found 2 solutions by Alan3354, Adam:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Can somebody help me solve the equation 5%2F%282x-3%29=3%2F%28x%2B5%29
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Cross multiply.
5*(x+5) = 3*(2x-3)
5x+25 = 6x-9
-x = -34
x = 34


Answer by Adam(64) About Me  (Show Source):
You can put this solution on YOUR website!
5%2F%282x-3%29=3%2F%28x%2B5%29 // *(2x-3)(x+5) - getting rid of x's in the denominator
5x%2B25+=+6x-9 // -5x
25+=+x+-+9 // +9
34+=+x
x+=+34
let's verify our solution:
5%2F%282%2A34-3%29=3%2F%2834%2B5%29
5%2F65+=+3%2F39
5%2F65 // :5
1%2F13
3%2F39 // :3
1%2F13
Cheers,
Adam