Okay he admitted to cheating

But he doesn't seem sorry. He is so busy pointing the finger at me and how I react to certain situations but I feel like he tries to put his infidelity on the back burner while I'm trying to figure out where we went wrong. I don't want to give up on us but what do you think would be a good way for us to get past this? Counseling? Heart to heart? A few months of not talking? We dont live together and we don't live close. I brought up counseling in the past but he didn't feel like we needed it. One part of me feels like I just want to walk away but then another part don't want to be without him since we've invested so much time in each other.