How do I help my husband after hurting him?

Okay I asked earlier but I really need more answers. My husband found out about a sort of flirtation I had with a guy at my last job. We've moved away but he found out about it just before the move. Nothing physical happened between me and my colleague and I have no emotional interest or attachment in him. Just some heavy flirting and talk for about 10 months. We moved four months ago and I haven't even talked with him. But my husband says I lied by not telling him what was going on, and then I lied some more when I didn't tell him the truth when he started to suspect things. He doesn't trust me I can tell and I know I've hurt him. I think I made it worse by explaining that I had no emotion for my male friend, just physical attraction but my best friend says men never want to hear this. I know now. I know I sound casual about this but I'm trying to lay out the facts without leaning in my own favor or otherwise. How do I get him to trust me again? How do I help him get past the hurt I've caused?