Pretend you're an outsider like me reading your post & that you have no love attachment to the guy what-so-ever. Bottom line is he's cheating on you, is lying to you about it, is not contrite about this, won't respect your feelings enough to even talk about it, is emotionally cold to you & now is preparing to move out. And don't be fooled just b/c he never threw a punch--this IS serious emotional abuse. He's not entitled to have an affair or to lie to you As Dr. Phil says, "you can't fix it if you don't own it" & he's not even owning up to cheating & lying. The proper response to him is, "Good riddance & don't let the door hit you in the face on the way out!" And besides, he has already left you. All that's left is the shell of a body that used to be your husband. THIS is the way he really is, not the nice facade he put up when he was dating you. All abusive husbands come across as nice guys in the beginning.
And BTW, he's telling you a bunch of lies:
1. He was drunk during the laundry room incident & doesn't remember it. Complete B.S.--it's his way of not having to talk about it. And let's say this is true. Well in that case he's an alcoholic who experiences black outs & needs rehab. Also a bad situation.
2. He needs to "find himself"??? B.S. He wants a place where he can be intimate with the other woman that's more comfortable than a laundry room.
3. His denial of the affair.
Please don't believe his lies. And please love yourself first by not being in a marriage with anyone who would dare treat you like this. Staying with a man who is cheating on you is implicitly giving your okay about this. Only give him another chance if he comes clean, appears very contrite & sorry, quits the affair, tells her in your presence he's ending it, switches jobs to a workplace where he has no contact with her, tells you where he is at all times, allows you to check all cell phone calls & credit card purchases, etc. But you are no where even NEAR a situation where you can give him a second chance.
Document everything he does. And if you're a SAHM, be sure to get enough child support (& alimony if applicable to your situation) so you don't have to be dirt poor. But even if you do end up being financially strapped for a while, it's better to be low income & without him. (No, he will not magically revert to the nice guy he was in the beginning, so don't waste your time waiting around for that.) And besides, he probably does come up with the money for taking HER out to dinner & motels, etc. You can take comfort in knowing that "if he does it with you, he'll do it TO you." Thus the other woman is not gaining a partner she can trust, nor is your husband gaining a trustworthy partner.