No offense to anyone who opted for the 8X...that's why we have choices, but folks, this should not even be a debate.
I started with the 8X but returned it for a Lumia 920 and, quite frankly, I'm embarrassed that I could not have made that decision the first go round.
The Lumia 920 camera is better in ALL SITUATIONS, good light and low light. I am professional photographer, so obviously I rely on different equipment for serious shooting, but I love to have a great snap shooter in my phone and the Lumia is infinitely better in this area. The color correctness from the Lumia camera absolutely blow away anything the 8X can produce.
As far as the phone goes...well, you can try to justify going without the Nokia app suite, but that's kind of silly, I think. WP8 is so short on apps as it is, I think that the Nokia app suite is borderline necessary, mostly because of Nokia Drive.
Screen...in my opinion, the Nokia screen is better, but that's subjective, so YMMV...they are both great screens.
As far as weight and what the phone looks like...again, that's subjective and you have to make your own call on this. Personally, I think the Lumia is very attractive and the weight is a non issue.
Bottom line...if you want the 8X because it is lighter and looks better to you, then that is a great reason to get it...however, if you are choosing the 8X because you think it's a better performing phone, then I believe you are sadly mistaken.