Hi

   |Cross Multiplying 

  6(x-1) = x(x+1)

  6x -6 = x^2 + x

  x^2 - 5x + 6 = 0

factoring

 (x-2)(x-3)= 0

 (x-2)=0   x = 2

 (x-3)= 0  x = 3



CHECKING our Answers***

 (2+1)/6 = (2-1)/2 = 1/2

 (3+1)/6 = (3-1)/3 = 2/3 

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