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 solve : 

1/x+3 + 1/2x-1 = 11 /7x+9

   1x + 3 + 12x - 1 = 117x + 9⇒2x - 1 + x + 3x + 32x - 1 = 117x + 9⇒3x + 22x2 + 5x - 3 = 117x + 9⇒112x2 + 5x - 3 = 3x + 27x + 9⇒22x2 + 55x - 33 = 21x2 + 14x + 27x + 18⇒x2 + 14x - 51 = 0⇒x2 + 17x - 3x - 51 = 0⇒xx + 17 - 3x + 17 = 0⇒x - 3x + 17 = 0⇒x - 3 = 0   or  x + 17 = 0⇒x = 3   or  x = -17

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      1       +     1      =      11    

  X + 3  2X-1  7X+9

 2X-1 + X+3     =      11 

  (X+3)(2X-1)  7X+9

  3X+2         =        11  

2X2-X+6X-3           7X+9

  BY cross multiplication

21x2+ 14x + 27x + 18 = 22x2 - 11x + 66x - 33

21x2+41x +18 = 22x2+ 55x -33

22x2-21x2 + 55x -41x -33 - 18 =0

x2 + 14x - 51 =0

x2 + 17x - 3x -51 = 0

x( x + 17 ) - 3( x + 17 ) = 0

( x + 17 ) ( x - 3 ) = 0

either , x + 17 =0  or  x - 3 =0

  .`.  x = -17  x = 3

i hope it will help u .............. so plz thumbs up (y)

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