Why Conquering Anxiety Conquers other Sins

I just read this paragraph. I don't think I'll forget this paragraph anytime soon:

I have learned...that anxiety is a condition of the heart that gives rise to many other sinful states of mind. Think for a moment how many different sinful actions and attitudes come from anxiety. Anxiety about finances can give rise to coveting and greed and hoarding and stealing. Anxiety about succeeding at some task can make you irritable and abrupt and surly. Anxiety about relationships can make you withdrawn and different and uncaring about other people. Anxiety about how someone will respond to you can make you cover over the truth and lie about things. So if anxiety could be conquered, a mortal blow would be struck to many other sins.-John Piper, Battling Unbelief, p. 24