To answer that question, you have to ask yourself, "how exactly did you get your left & right side out of balance?" It's a long process to reverse something that you've been doing probably since the day you were born.

I was once at a Q&A session with Gita Iyengar and I'll never forget how significant the first question was (I'm paraphrasing below):

Q: "When I'm in headstand my teacher always adusts me to one side and says I'm out of alignment. I can't tell myself when I'm in alignment & reached that point of equalibrium. How do I cultivate the sense of equilibrium?"

A: She took a long pause, which suddenly made the question seem much more important than the person reading it had thought. "When you habitually put a body in a position that is out of equilibrium, it will eventually feel like that out-of-balance position is in perfect equilibrium. When your teacher adjusts and realigns you body into the correct point of equilibrium, your body will feel like it's out of balance. This means it will take time for your body to recognize this position as the correct point of equilibrium and even longer for you to be able to find that point on your own."