Refer: http://www.howtogeek.com/198476/how-to-install-minecraft-on-ubuntu-or-any-other-linux-distribution/
The most important part was installing the Nvidia drivers, and then Oracle Java 7+. Download the Jar file, make it executable through file menu, and just double clicking the icon. Also, reduced the frame rate, etc. for other items to make it a bit more performant.