So you want to know whether you can run Mac OS X on an intel-based PC.
Officially No.
Apple only allows their Mac operating system OS X to run on Mac hardware (iMac, MacBook etc.). This is in the Mac OS X license agreement.
However, since Apple switched to Intel processors as well, there is no real technical reason why Mac OS X would not be able to run on an intel-based PC, like an IBM one or a Dell or an HP or whatever other brand you can think of.
So, some hackers started the OSx project and developed a hacked version of Mac OS X that they reportedly managed to install on PC's. This is the OSx86 Project.
You can read all about it here: http://osx86project.org/ If you roam the dark corners of the internet, you may be able to find a free osx86 copy of Mac OS X.
But I must say that that hacked OSx86 version of Mac OS X is illegal and that it is a crime to download it, use it or distribute it. Up to you what you want to do with that information.
In addition, even if you get to work... getting the right drivers for your PC peripherals to work correctly in such a hacked version of Mac OS X is a big big challenge.
Easy solution that is more costly but will save you a couple of days of your life (and probably years if you take into account the stress-reduction of getting away from windows will bring, haha) is to buy a mac... you get mac os x with it 'for free.'