I think that mjc summed it up nicely, but maybe I could clarify a little further...
it will favour the forward reaction as there are fewer moles on that side and therefore a higher concentration as the reactants concentration will decrease to maintain the new adaption in reducing the pressure. So why doesn't Kc change?
I feel like you almost have the concept down-packed here (albeit only a half of it), but remember that atoms can't be created or destroyed in a reaction. So if the concentration of sulfur trioxide is to increase to relieve stress in system (added pressure), then wouldn't it make sense that the concentration of reactants must decrease hencewith? This increase and decrease is affected by the K
c value,
not the other way around!
N.b., Remember that K
c is a measure of the rate of reaction. Even if you think about it logically, changing pressure and concentration of species shouldn't affect it, should it?
I hope this helps,
XeLa