I've never been a drug addict, but I really think that quitting drugs is easier than quitting masturbation.
I had several attempts to do it before I realized that it is probably impossible for a human being, and so I took a one-week fast and during that week I tried to avoid looking at women as much as I could, and I prayed to God to purge me of this passion.
And so He did. During that week I had a couple of fits, where I had to jump under cold shower to suppress desire, but now I'm clean for more than three years, and I'm still single and I'm still very much attracted by the opposite sex.
The same way I quit smoking and drinking, or more proprely, God cleared me from these passions.
Also, if you hear somebody arguing that masturbation isn't a sin (some people will do this occasionally, because it is so hard to suppress it that they start to think it's natural), you don't believe them, since if it wasn't a sin you wouldn't feel remorse every time you do it.
The majority of Russian Christians believe that in Corinthians 6:9 (Know ye not that the unrighteous shall not inherit the kingdom of God? Be not deceived: neither fornicators, nor idolaters, nor adulterers, nor effeminate, nor abusers of themselves with mankind), by effeminates Paul means people who masturbate. It's probably hard to draw such conclusion from the English translation, but the original Greek word 'malakia' (which means 'soft', 'easily compressed', elastic) in Russian theology is strongly associated with masturbation.