Admitting and accepting for me were two different things. I admitted my alcoholism for a long time, but it wasn't until I acutally accepted it that I was able to stop.
Same with a bad relationship with another alcoholic. I could admit to myself all the time that I couldn't control his behaviour or fix him, but until I could actually accept that, I couldn't let go of him.
It was coming to this: "Okay, this is how it is; I can't make this different, no matter how hard I try, all I can do is move on or past it."
That was acceptance for me.