i am trying to learn how to slove linear inequalities and im stuck!

In problems like 6 -4x < x +1 i know the text book tells me to use -x to both sides.

Ok.. this brings me to my question. when doing these im lost on which number to pick and subtract!! why not the 6 or the 1. please help.

When i sit down and get ready to work the problem.. im stuck at the first step at.. do i add and sub the 6 through out the problem or or 1 or -4x.. where do i start?