Lenovo Vibe X S960 had been upgraded to android 4.4 kitkat. Here is a chinese CWM recovery 22.214.171.124 for lenovo s960 with android 4.4 ported from tcl idox s950
You can get the recovery here http://cellphonemic.com/lenovo-vibe-x-recovery.html
Please use flash tool to flash into. Then press volume+, volume- and power key at the same time,don’t loose volume+ and volume- key until you enter recovery mode. then you can root,backup or something else liket that.