In order to successfully install Sublime Text 3 on Ubuntu 16.04 Xenial Xerus, you have to add the PPA to your system, update the local repository index and install the sublime-text-installer:

$ sudo add-apt-repository ppa:webupd8team/sublime-text-3
$ sudo apt-get update
$ sudo apt-get install sublime-text-installer

And to remove sublime text:

$ sudo apt-get remove sublime-text-installer
Categories: Ubuntu