Please make a backup before making any changes, then verify the backup matches the source files; then, make another backup to different media (disk or cloud) and verify that before making any partition changes.
You have three major (Primary or Extended) partitions: 3, 1, and 2. NTFS Partition 2 looks like it booted Windows, and you specified you want to give up running Windows on this PC.
You can't take space from Partition 2 and give it to 3 because 1 is in the way. Partition 1 also hosts the Extended partitions 7, 5, and 6, which further complicates matters.
Number Start End Size Type File system Flags Use
3 1049kB 215GB 215GB primary ext4 /home
1 215GB 1834GB 1619GB extended lba
7 215GB 430GB 215GB logical ext4 /
5 430GB 1215GB 785GB logical ntfs data
6 1215GB 1834GB 619GB logical ntfs data
2 1834GB 2000GB 167GB primary ntfs boot unwanted
When you install your new Ubuntu, use Partition 3 as your root, and do not create (yet) a separate /home.
3 1049kB 215GB 215GB primary ext4 /
1 215GB 1834GB 1619GB extended lba
7 215GB 430GB 215GB logical ext4 /
5 430GB 1215GB 785GB logical ntfs data
6 1215GB 1834GB 619GB logical ntfs data
2 1834GB 2000GB 167GB primary ntfs boot unwanted
After Ubuntu installation completes, delete partition 2 then add its space to partition 1. You will now have a partition layout like this:
3 1049kB 215GB 215GB primary ext4 /
1 215GB 2000GB 1785GB extended lba
7 215GB 430GB 215GB logical ext4 /
5 430GB 1215GB 785GB logical ntfs data
6 1215GB 1834GB 619GB logical ntfs data
x 1834GB 2000GB 167GB unassigned
Create a new ext4 partition where the unassigned space 'x' is; should be partition number 8.
Exit from the drive partitioning software and reboot. Mount partition 8. Copy the contents of ~/ into the new ext4 partition 8. Shutdown, and re-boot with your LiveUSB, and return to partitioning.
Next, delete partition 7.
Move the location of partition 5 up to where partition 7 started.
Move the location of partition 6 to the end of partition 5.
Assign the remaining unused space at the end of partition 5 to the ext4 partition 8, where you copied your ~/ which results in a simpler layout:
3 1049kB 215GB 215GB primary ext4 /
1 215GB 2000GB 1785GB extended lba
5 215GB 990GB 785GB logical ntfs data
6 990GB 1609GB 619GB logical ntfs data
8 1609GB 2000GB 391GB logical ext4 to be /home
If you have unused space in partitions 5 and 6, you can reduce their size when you make the changes. If you don't believe you will use 215 GB for root, you can reduce its size as well, and move the starting point of the Extended partition (#1) up as well.
Lastly, make partition 8 your /home directory, take ownership of the directories and their files in the root of partition 8, and move them into your new ~/ for your new user created when you installed Ubuntu.
sudo parted --list
is correct) – Soheil Paper Nov 05 '19 at 16:24