Hi NewBeginnings
I think in a relationship we're both partners are addicted, there's a tendency sometimes to focus on the other persons addiction - especially if there's been some long term deceit.
Please don't neglect your own recovery in the midst of your anger.
I'm glad that your husband is at least willing to acknowledge his addiction - maybe that will be the precursor to him actually doing something about it.
Apart from us here, there is other support too.
There are organisations like SAnon
https://www.sanon.org/
and COSA
COSA recovery
for the family and loved ones of sex addicts.
Wishing you the best,
D