Ok ICE table works this way,
2SO2 + O2 <---> 2SO3
[Intial] 8.5 3.5 5.575
[Change] -2x -x +2x
[Equilibrium] (8.5-x) (3.5-x) (5.575+2x)
Do you understand how it works?
To calculate Kc, use the concentration at equilibrium, but you need to solve for x first.
As for Kp, it's the same, just that partial pressure is used this time.
And, the answer is correct.