I tried all advices given about that "black screen" issue after having installed properly, with no faults, the installation wizard. None of them solved my problem.
The only thing that saved my Kubuntu 14.04, after restarting from the complete installation of software, was when I ran Bios setup, went to Boot page, selected as 1st Hard Disk Drive and 1st Boot Device my HDD.
Try it for other Linux Distributions also.
None of "nomodeset", "nouveau.noaccel=1", remove of "quiet splash --", setting grub on other HDD, Bios "Quick Boot = Off" and changing live usb solved it.
Also I realized that I could not set as disk to boot other HDD than the one of my previous Linux Distribution without receiving the error "grub-install /dev/sda failed". I wanted root and home partition on sdb (larger disk) while previously was on sda (smaller disk). To solve this problem I tried many things like the advices given on these pages:
How to find out which partition is Ubuntu installed on?
I ended using LVM on my old disk (sda), which I believe is a good solution (read about it: What is LVM and what is it used for?).
Regarding the "black screen" issue, I suggest that you should try to make as 1st Hard Disk Drive and 1st Boot Device your HDD, on Bios Menu, after completing installation wizard and see if that helps you. Nothing to lose. Solved my problem
Thank you all for the advice given!!!