by Ken Task.
First, have to ask ... why Linux Mint? GUI desktop for internet server apps [apache/MySQL] that are faceless (ie, run as daemons) really stretches purpose of installing Moodle on any 'highended' GUI desktop. But ... since it is Linux there is always the terminal.
Blank screen during installation could be many things so anyone attempting to help will need some more info.
Start with the basics ... versions of: Apache, MySQL, PHP. After launching Apache/MySQL do you have enough memory to run Moodle? What's the memory of the box. Have you checked messages/secure logs as well as apache error logs, php error logs, php settings?
'spirit of sharing', Ken