Open Synaptic Package Manager. Select Settings -> Repositories Then select the other software tab and Click on the add button. Add the following:
Click add and exit from Synaptic. Then open a Terminal window and type:deb http://repository.spotify.com stable non-free
sudo apt-key adv --keyserver keyserver.ubuntu.com --recv-keys 94558F59
sudo apt-get updateThen type :
sudo apt-get install spotify-clientIf the last step doesn't work re-open Synaptic and in the filter search type Spotify. Mark for Installation and Apply.