/usr/lib/x86_64-linux-gnu/libsynctex.so is in libsynctex-dev 2015.20160222.37495-1ubuntu0.1.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/x86_64-linux-gnu/libsynctex.so.1.17.0
/usr/lib/x86_64-linux-gnu/libsynctex.so.1.17.0