Personally, I think it is douchey to get pissy about not getting invited. I recently got married and there was a pretty large group of people, including some co-workers, that I was simply unable to invite. Weddings are expensive, and church's and reception halls only hold so many people.
If you dont want to do it because you dont want to loan your equipment/lose the money/don't feel like it/whatever, that is fine; but to not do it because you weren't invited I think is a ****** move.
Yeah.. It's one thing to not invite someone, but it's another to ask them to do something for you in the process.
Honestly, I would NOT brew for him. I would say something along the lines of, "Sorry, I can't. I don't normally lend out my equipment because it's kind of expensive." However, I can see this statement resulting in a desperate, pity invite, which is something you don't want. In that case, I would just politely decline and let him figure it out on his own.
By the way, this guy sounds like a total ******. I know that the phrase has been said already by damn near everyone, but I can't think of a better description. F*CK HIM!