Here is the basic idea: An L-shaped computer desk mounted to the wall with no legs. (Screens will be mounted on the wall.)
This is the Mounting Bracket: The length of the tube will be 22", welded to a section of a 3mm thick mild steel door hinge, that's welded to a 2" 3mm thick section of flat stock. As you can see, there is a Socket Head screw to adjust the angle of the end of the desktop mounting tube.
Above the hinge point of the 2" 3mm thick section of flat stock, there is a slot for mounting the flat stock to the wall.
The next two images show the mounting points (circled in red) for an L-shaped desk and a shelf on the 2 walls. Because it was impossible to get the anchors the same height, you can see the need for the slot in the 2" flat stock.
The next 2 images show the measurements of the materials.