SOLUTION: solve for x ((2x-3)/(5x+10))+((3x-2)/(4x+8))=1

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Question 22868: solve for x

((2x-3)/(5x+10))+((3x-2)/(4x+8))=1
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
%28%282x-3%29%2F%285x%2B10%29%29%2B%28%283x-2%29%2F%284x%2B8%29%29=1

This is a rational (fractional!) equation. First step is to factor those denominators in order to find the LCD for the equation.
%28%282x-3%29%2F%285%28x%2B2%29%29%29%2B%28%283x-2%29%2F%284%28x%2B2%29%29%29=1

The LCD is 20(x+2) so multiply both sides of the equation by the LCD:


ALL the denominators divide out!!!
4%282x-3%29%2B5%283x-2%29+=+20%28x%2B2%29
8x+-+12+%2B+15x+-10+=+20x+%2B40
23x+-+22+=+20x+%2B40
3x+=+62
x+=+62%2F3

Ugly answer! Either it's getting very late or it just didn't come out even!! Help!!
Somebody find my error if there is one!!

R^2 at SCC