@BkS … Unless this is a different system, lshw said (at link below) that it was an Intel graphics card using the i915 driver.
See here:
http://linuxforums.org.uk/index.php?topic=9932.msg71492#msg71492
@Smiler … Starting a new topic like that make thing svery hard to follow 
My fault though … I should have asked you to start a new topic called something like “Dual monitor setup on Zotac H67-ITX Motherboard” or similar, once the “Pining to taskbar” question was resolved … Note to self:- I really should be promoting proper structure on this forum. C:-)
OK, never tried XBMCbuntu, but if its an LXDE DE I’m guessing this will translate from Peppermint.
Preferences>Customise Look and Feel for themes, but don’t expect the same amount of customisations as in Gnome.
Dual monitors … it REALLY would have helped if you had an NVIDIA card which has its own control panel with a lot of configuration options.
But here goes …
BE AWARE … You are going to be working from the commandline with no GUI for part of this, so write this down, or better yet print it off.
(and remember Linux commands ARE case sensitive)
You’re going to want to create an xorg.conf file whilst both monitors are attached and switched on …
Reboot and hold the Shift key as soon as you BIOS POST screen disappears till you are at the GRUB boot screen.
Select “Recovery Mode”, and hit enter.
When you are offered a load of options, use the Tab key to select “Cancel”
You should now be asked to log on … enter your username and hit enter.
enter your password and hit enter.
You should now be at a normal $ prompt.
Run:
Xorg -configure
then
sudo mv -v /etc/X11/xorg.conf /etc/X11/xorg.conf.backup
then
sudo cp -v ~/xorg.conf.new /etc/X11/xorg.conf
When that finishes, reboot with:
sudo reboot
With a bit of luck, when you are back at your normal desktopboth monitors will be available in Preference>Monitors
If your system refuses to boot …
Reboot and hold the Shift key as soon as you BIOS POST screen disappears till you are at the GRUB boot screen.
Select “Recovery Mode”, and hit enter.
When you are offered a load of options, use the Tab key to select “Cancel”
You should now be asked to log on … enter your username and hit enter.
enter your password and hit enter.
You should now be at a normal $ prompt.
Run:
sudo mv -v /etc/X11/xorg.conf /etc/X11/xorg.conf.broken
Then reboot with:
sudo reboot