I (19F) cheated on my boyfriend (20M), is there any chance of working it out?

Anyone who hates me from the title, you are completely valid. I don’t want sympathy, I’ve done what I have done but hear me out on the situation.

We had been dating for almost three months, in that time we had broken up once before. I went out after he had upset me really bad and broke up with him. The next morning, we worked it out. Since the first break up I thought about ending it for good. For a while I thought he might even be gay. No matter what I did, he never seemed happy. All I wanted was to make him happy. The night before I went to a concert, he said something really hurtful. I almost broke up with him right then and there but I couldn’t do it. Despite it all, I think I love him.

Here’s where I become the mythic bitch. I went to the concert, had a great time. Went to a bar afterwards, at the bar I told a few of my friends what had happened the night before. They said I should really consider breaking up with him, maybe do it and then go home for a weekend or something so I wouldn’t be tempted to get back together with him. I was crossfaded, it’s not an excuse but I was. So I texted him, he replied right away that we would talk when I was back and to sober up first and think about what I was saying. I didn’t sober up, a guy (21M) I knew bought me drinks instead. I don’t remember walking back to the hotel, I don’t remember him being there at all. I remember making out with someone and saying my boyfriend’s name. I remember waking up the next morning with the same guy in my hotel room. I stayed with a friend for the rest of the weekend so I could get my head right. My, at that point ex-boyfriend, had the worst weekend of his life that I know of. Today, Tuesday, we finally spoke and I told him. The reaction was as expected, that this is probably the one thing we can’t work through. We didn’t talk for long.

I don’t know if there is any way to work this out, has anyone had a similar situation to this? Last he said was that maybe we could talk more but he probably can’t forgive me.