From my reading on the mind/brain, my sense is that things are far too complicated and unknown (at this point) to really say "x is happening in the right brain." Of course, both halves of the brain are very tightly coupled, and a lot of information/energy is travelling back and forth between the halves. It's one brain, after all, and there are many different parts of it. Some might even include the entire nervous system as "part of the brain." There are sides of the brain which appear "dominant" in many people during certain types of thinking. But, still, it's just much more complex than "when you're thinking of x it's happening in the right side of the brain." And, statements like "creativity happens on the right side of the brain" are so general and simplified, that I think they create much more confusion than actual helpful information.
Moreover, every person is very specific: gender, genetics, experience, etc. all have a dynamic effect on the brain (and hence the mind).

A tough read, but one that doesn't make blanket statements or dumb things down:

The Developing Mind: How Relationships and the Brain Interact to Shape Who We Are by Daniel J. Siegel
http://www.biblio.com/isbn/9781572307407.html

Also recommend reading wisebrain.org for great articles and audio/video on the mind/brain.

In my experience, finding a good psychotherapist (one with whom you feel comfortable and can establish a good rapport), and going to therapy every week for a long time can really help expand the mind (this is regardless of whether you think you have a "mental problem" or not. Imho, we all have a "mental problem", i.e., being human). I can't stress enough how important it is to find a therapist with whom you're comfortable: don't "settle" for someone who doesn't feel right. Also, regular meditation, esp. "insight" meditation (ala the Buddhist Vipassana tradition), is a wonderful practice for developing a better understanding of how your mind works.