You will be able to and you must. The disease of alcoholism is relentless and it will kill you if you let it. I didn't think I would be able to stop drinking either, and kept telling myself that it wasn't that much of a problem. But, my health was in serious jeopardy and my family was totally fed up, and I did turn things around. And, you can too.
Focus on the day and getting through the day without drinking. Of course, it's always a good idea to talk to your dr because detoxing from alcohol can be dangerous. Take a look around the boards and you will see lots of success stories.