I purchased the n5 for the price for performance. I decided to upgrade because I wanted apt-x for blue tooth audio, I prefer the larger screen, and I still like having the removable battery and SD card.
There wasn't much on the fence... I had never had a nexus device and decided to try it out and see what the hype was about. For the price from Google play it's unbeatable imo. Paying the extra 100 because it came through tmo is a ripoff. Just my personal experience get the 32gb version so you don't have to compromise on what you can carry.
I liked the phone enough and for how cheap it is I decided to give it to my gf instead of selling it. If she didn't want it I would keep it around as a backup phone for when it's not a good idea to carry my note 3.
So in closing you can't go wrong with either one. For staying connected and having the latest Android the nexus wins. For bells and whistles the note 3 wins.
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