Running X server inside docker container

I have problems running X server inside Docker container.

http://stackoverflow.com/questions/26075741/starting-xserver-in-docker-ubuntu-container - this was my original issue on Stackoverflow. Running container with X server with --priviliged option helped but now I have another issue.

The screen on my host machine turns black as I start docker container. Could anyone suggest something?

My problem described here: http://stackoverflow.com/questions/27194404/host-screen-turns-off-when-i-start-x-server-in-docker-container