My dock is organized with more commonly used apps at the left side. I would like, that when an app (not already in the dock) is opened, it should show up on the left and not on the right. Is this possible?
Unfortunately not. You can only change the position of the dock, but not where 'undocked' apps appear.
The only solution I can think of is to move the active application to the first position. This, however, will add the application permanently to the dock.