I'm currently planning a new wall-mounted computer desk and intend to use something similar to this as the top:

However, my end goal is for a wall-mounted desk, using L-Bracket mounts. I've never built a wall-mounted anything. So some of my questions are:
- Using 2 x 10 dimensional lumber, I'm going to have a 27.75" deep desk. However, I can't seem to find an L-Bracket above 22". I feel that this is a huge overhang given the top isn't a solid sheet, but I'm not sure.
- Is mounting the L-brackets at every other stud sufficient?
- Do I need to run a support between the brackets (mounted 1 x 6 or equivalent)?
If anyone has a suggestion that I seem to be completely missing, I'm all ears :).
EDIT: Forgot to mention that the ends of each desk will not have a wall for support, so the entire weight will be supported by the L-brackets themselves. Overall I expect the length of the desk to be around 5' in each direction from the corner.
