First you will need to install the MySQL Client Tools:

  sudo apt-get install mysql-client (this will install among other things mysqldump)

Now you can do the backup, there are a couple of considerations:

1. Your user must have the rights (normally user accounts are localhost limited) I created a user with global rights '%'

CREATE USER 'newuser'@'localhost' IDENTIFIED BY 'password';

  EG: CREATE USER 'admin'@'%' IDENTIFIED BY 'password';
  
Once created, the user requires permissions
  
  GRANT ALL PRIVILEGES ON * . * TO 'newuser'@'localhost';
  
If you want to be able to access the server from anywhere, replace localhost with %
  
  GRANT ALL PRIVILEGES ON * . * TO 'admin'@'%';

SUPER IMPORTANT Comment these lines in /etc/mysql/my.cnf
<>OR SQL WILL ONLY ACCEPT LOCAL CONNECTIONS</color>

  skip-networking\\ 
  bind-address = 127.0.0.1\\ 

2. You must have rights to write to the target directory (easily overlooked)
3. The backup might take a few minutes, be prepared to wait.

  Now we can execute the following command:
  
  mysqldump --host ipaddress -P port -u user -pPassword databasename > savename.sql
  
  mysqldump --host 10.0.0.1 -P 3306 -u root -pRootPassword gallery > gallery.sql