Blender won't start on Tails 1.4 (Debian) amnesia@amnesia:~/Desktop/blender-2.74-linux-glibc211-x86_64$ ls
2.74                    GPL3-license.txt       LICENSE-bmonofont-i18n.ttf.txt
blender                 GPL-license.txt        LICENSE-droidsans.ttf.txt
blenderplayer           icons                  Python-license.txt
blender-softwaregl      jemalloc-license.txt   readme.html
blender-thumbnailer.py  lib
copyright.txt           LICENSE-bfont.ttf.txt
amnesia@amnesia:~/Desktop/blender-2.74-linux-glibc211-x86_64$ ./blender
bash: ./blender: No such file or directory


I'm an actual Linux noob and googled for install instructions. I use Tails 1.4 which is Debian.
The problem is that you are trying to run a 64-bit version of Blender on a 32-bit system. Go to download.blender.org, click on the "GNU/Linux" tab, and click the 32-bit button. Then, extract the archive and run the blender executable.

For a more in-depth explanation of the error message, check out this answer on unix.stackexchange.com.