If you can delete /dev/sda5 (it seems empty/unused?)
If that is true, then there's a quite simple way to do it with the Gparted UI:
- delete /dev/sda5
- Move the neighbouring /dev/sda8 to the front (where sda5 was located)
- move+enlarge /dev/sda11 as you please
The system will have to physically move the ~27GB of sda5 (/) and possibly also the 55GB of sda11 (/home), so depending on your disk that might take some hours.
You'd need a terminal to do the trick. Either copy the whole sda11 partition over sda5 with a
dd like this:
dd if=/dev/sda11 of=/dev/sda5 bs=1M
... or assign /dev/sda5 some mountpoint and copy the data with rsync or whatever file manager you prefer (just be careful to use rsync's
-an option to keep access rights). When done, change remove sda11's mountpoint and change sda5 to /home .