SOLUTION: solve x over 5x+10 plus x-3 over x+2 equals 7 over 5 A)no solution B) -8 C) -29 D) -17

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Question 86516: solve
x
over
5x+10
plus
x-3
over
x+2
equals
7
over
5
A)no solution
B) -8
C) -29
D) -17

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
x%2F%28%285x%2B10%29%29 + %28%28x-3%29%29%2F%28%28x%2B2%29%29 = 7%2F5
:
x%2F%285%28x%2B2%29%29 + %28%28x-3%29%29%2F%28%28x%2B2%29%29 = 7%2F5
:
Multiply equation by 5(x+2), gets rid of the denominators and you have:
x + 5(x-3) = 7(x+2)
:
x + 5x - 15 = 7x + 14
:
6x - 15 = 7x + 14
:
6x - 7x = 14 + 15
:
-1x = 29
x = 29/-1
x = -29