Edit: Due to the fact that this article is old, the installation instructions may not work anymore. In order to successfully install the latest version of Wine, please access the wine tag and open the latest article (the one on top).
WineHQ (Wine is Not an Emulator) is a compatibility layer for running Windows apps on Linux and Unix systems. Wine translates Windows API calls to POSIX calls eliminating the performance and memory penalties, and offers a clear integration of Windows apps into your desktop.
Installing Wine 1.5.28 on Ubuntu and Linux Mint is easy, since this app is provided in a PPA, for the two systems.
So, this is what you have to do:
How to Install the latest Wine on Ubuntu 13.04, Ubuntu 12.10, Ubuntu 12.04, Linux Mint 14 and Linux Mint 13:
Add the WineHQ PPA:
$ sudo add-apt-repository ppa:ubuntu-wine/ppa
Update the repo index:
$ sudo apt-get update
$ sudo apt-get install wine1.5 winetricks