Right ill try this one...
I think you're supposed to pick x so that the fractions go.
In this case try x=6.
You get 6 + 3 + 2 = 11 which is not the right answer.
But if we multiply 11 by 10/11 we get the right answer so multiply 6 by 10/11 and we do indeed get 60/11 as you said.
Following your way... Pick x=2.
Then you get 2 + 1 + 2/3 = 11/3 which is not the right answer but if we multiply it by 10*(3/11) we get the right answer so again multiply your x value by this to get 2*10*(3/11) to get 60/11 as required.