I believe the N5 has OIS. The moto does not.
On a side note, I gave up on the N5 because the autofocus would never behave.
I have to say I agree with the guys that say you are you using the wrong tool (phone) for good pics. I look at all the pics I take on a 52 inch TV on a random cycle. IPhone5s, N5, moto x all have grain. I was most disappointed by the iP5 because of all the hype. I picked up an RX100 and it trashes all of them. If you want to keep the pics use something better. If they are throw always, who cares?
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