The betrayal will be difficult to forgive. People with addictions don't act with a clear head, they're not as much in control of themselves as we think (like people with phobia or other mental illnesses). Also, if you have the will and the strength, this addiction can become a joint problem that you will fix together. By giving him the space to talk about it openly and share his struggle, he might be better able to overcome it. Its good that he already told you the beginnings of his addiction. Hopefully, you'll receive some professional advice on how to address this.
In any case, find the path that will provide you peace of mind and happiness, for you and your family.
M39 D6 D3 (at S) S 2014-09 D 2016-09
"You can't start a fire sitting around, crying over a broken heart" - Bruce Springsteen.