SOLUTION: solve the equation -5x/3x+3=(2X/6X+6) + (6X-4/X+1)

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Question 754663: solve the equation -5x/3x+3=(2X/6X+6) + (6X-4/X+1)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Assume the problem is:
%28-5x%29%2F%28%283x%2B3%29%29 =%282x%29%2F%28%286x%2B6%29%29%29 + %28%286x-4%29%29%2F%28%28x%2B1%29%29
Factor the denominators
%28-5x%29%2F%283%28x%2B1%29%29 =%282x%29%2F%286%28x%2B1%29%29%29 + %28%286x-4%29%29%2F%28%28x%2B1%29%29
Multiply each term by (x+1) and we have
%28-5x%29%2F3 =%282x%29%2F6 + (6x-4)
multiply each term by 6, gets rid of the denominators
2(-5x) = 2x + 6(6x-4)
-10x = 2x + 36x - 24
24 = 2x + 36x + 10x
24 = 48x
x = 24/48
x = 1%2F2
I'll let you confirm this answer in the original problem using x=.5
%28-5%2A.5%29%2F%28%283%28.5%29%2B3%29%29 =%282%2A.5%29%2F%28%286%28.5%29%2B6%29%29%29 + %28%286%28.5%29-4%29%29%2F%28%28.5%2B1%29%29