Question 98622
        

         5/x+6 + 2/x^2+7x+6 = 3/x+1
               factorising x^2+7x+6 we get (x+6)& (x+1)
             taking L.C.M for (x+6) (x+1) & (x+6)  we get (x+6)&(x+1)

           [5(x+1)+2]/(x+6)(x+1) = 3/(x+1)
 
           5x+5+2/(x+6) = 3  [cancelling (x+1) on both sides]

           5x+7 = 3(x+6)

           5x+7-3x-18 = 0

              2x-11 = 0

                 2x = 11
                  x = 11/2