Hi,         

solving 





Multiplying each term by x(x-2) so as all denominators = 1

  x(3x+2) + (x-2) = -2

  3x^2 + 2x + x - 2 = -2

  3x^2 + 3x  = 0

  3x(x+1) = 0

   3x = 0

    x = 0  this solution tossed out as one cannot have zero in the deominator

  (x+1) = 0

    x = -1

 

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