SOLUTION: 15/x + 9x-7/x+2 =9 The 15 is over the x the plus 9x minus 7 over x+2 then it all equals 9! Please show work and check so i can learn

Question 198148: 15/x + 9x-7/x+2 =9
The 15 is over the x the plus 9x minus 7 over x+2 then it all equals 9!
Please show work and check so i can learn
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
(15/x) + (9x-7)/(x+2) =9
------------
Multiply thru by x(x+2) to get:
15(x+2) + (9x-7)x = 9x(x+2)
Expand and then simplify:
15x + 30 + 9x^2 -7x = 9x^2+18x
8x + 30 = 18x
Solve for "x":
10x = 30
x = 3
==================
Checking the answer:
(15/3) + (27-7)/5 = 9
5 + 4 = 9
====================
Cheers,
Stan H.
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