SOLUTION: 5/x+2 = 4/x-5 this is practice problems

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Question 185633: 5/x+2 = 4/x-5 this is practice problems
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
5%2F%28x%2B2%29 = 4%2F%28x-5%29
cross multiply
5(x-5) = 4(x+2)
:
5x - 25 = 4x + 8
:
5x - 4x = 8 + 25
:
x = 33
;
:
Check solution in original equation:
5%2F%2833%2B2%29 = 4%2F%2833-5%29
5%2F%2835%29 = 4%2F%2828%29
1%2F7 = 1%2F7