If you have not done the initial setup of MySQL like this (or with sudo, your choice):
enter root password
you'll get that (the important one is the "--user=mysql").
If you did not do as above, and you do not
have any data bases in /var/lib/mysql,
you can remove that directory, run mysql_install_db
as shown and you'll probably be OK.
You can manually start the MySQL daemon with: