I tried searching for this, also from the list of suggestions that comes out when you're writing the question, but nothing seems to address this matter. The closest I found is Best Practices when editing your own answer, but it seems to address my problem only in part. In any case, if I missed some question that actually answer this, please point me to that.
The problem is that I posted an answer last year (July 2011) which got accepted then, but today I received a down-vote on it and it took my attention.
So I did some research and I'd like to change my own answer pointing out different things. Not totally different but not even totally similar.
Once I read that rep is not important, but giving the right answer is important. I agree and actually I'm not concerned about down-votes that much, or if that answer gets un-accepted, but rather that this "editing" would be looked at like something dishonest. Is it frowned upon or does it happen regularly across the SE sites? Maybe I'm making a mountain out of a molehill, but I wanted to have some insight on this.
What should I do?