There seems to be 6GB of space in "/lost+found". That directory (or file) is usually used by the system for lost blocks that have been recovered by a repair. If you know how file-systems work, a "lost block" is one that exists on the disk, but isn't listedin either the disk's free list nor in any file.
For us to better understand the output from 'du', please post the output of the following command, pasted into Terminal.
Copy and paste the complete output from the Terminal window into a post here.
drwxr-xr-x 30 root wheel 1088 Sep 9 22:03 .
drwxr-xr-x 30 root wheel 1088 Sep 9 22:03 ..
-rw-rw-r-- 1 root admin 8196 Sep 15 22:37 .DS_Store
d--x--x--x 9 root wheel 306 Sep 10 09:42 .DocumentRevisions-V100
-rw-r--r-- 1 root wheel 1480 Sep 9 22:02 .OSInstallerMessages
drwx------ 5 User staff 170 Oct 27 2014 .Spotlight-V100
d-wx-wx-wt 2 User staff 68 Oct 27 2014 .Trashes
---------- 1 root admin 0 Aug 22 17:35 .file
drwx------ 165 User staff 5610 Sep 18 08:51 .fseventsd
drwxr-xr-x@ 2 root wheel 68 Sep 9 21:54 .vol
drwxrwxr-x+ 71 root admin 2414 Sep 11 15:43 Applications
drwxr-xr-x+ 64 root wheel 2176 Sep 9 21:58 Library
drwxr-xr-x@ 2 root wheel 68 Sep 9 21:54 Network
]drwxr-xr-x@ 4 root wheel 136 Sep 9 21:49 System
drwxr-xr-x 6 root admin 204 Sep 9 21:54 Users
drwxrwxrwt@ 6 root admin 204 Sep 18 08:52 Volumes
drwxr-xr-x@ 39 root wheel 1326 Sep 3 08:01 bin
drwxrwxr-t@ 2 root admin 68 Sep 9 21:54 cores
dr-xr-xr-x 3 root wheel 4610 Sep 10 09:42 dev
lrwxr-xr-x@ 1 root wheel 11 Sep 9 21:53 etc -> private/etc
dr-xr-xr-x 2 root wheel 1 Sep 10 09:42 home
-rw-r--r--@ 1 root wheel 313 Aug 22 22:35 installer.failurerequests
drwxrwxrwt@ 3 root wheel 102 Sep 14 08:47 lost+found
dr-xr-xr-x 2 root wheel 1 Sep 10 09:42 net
drwxr-xr-x@ 6 root wheel 204 Sep 9 21:54 private
drwxr-xr-x@ 59 root wheel 2006 Sep 9 21:53 sbin
lrwxr-xr-x@ 1 root wheel 11 Sep 9 21:53 tmp -> private/tmp
drwxr-xr-x@ 10 root wheel 340 Sep 9 21:58 usr
lrwxr-xr-x@ 1 root wheel 11 Sep 9 21:53 var -> private/var