Yes, I was in the same situation. I drank alone and hid it from my husband as long as I could. And, I lied about it. I know it bothered him a lot, but, on the other hand, we had been married a long time at that point, and I had never lied about anything. Interestingly, my husband did not think he had to do anything either - it was my problem and I had to fix it.
I do know that my relationship has changed. It's not the way it was before I began drinking. In some ways that's good, and in some ways it's bad. It's change, it's life, it is what it is. I hope that your husband will be able to forgive you and to move on. That really is crucial for a relationship.