Wear safety glasses and hearing protection. Always use straight boards and check for square after each step. Wipe off excess glue with a moist wipe.

For the cabinet you'll need:
5 pieces of 1x4 @14.5 "
2 pieces of 1x4 @32 "
For the door you'll need:
5 pieces of 1x2 @14.5"
2 pieces of 1x2 @32 "
Also you'll need pegboard 14.5"by 30" (cut to fit ) for the cabinet and for your inside of the door compartment.1/4 " plywood 14.5" by 30.5 (cut to fit ) Small mirror. Construction adhesive, hinges, stain or varnish, pocket hole screws 1-1/4", small screws to attach pegboard. 2-3" screws to attach French Cleat to wall studs

Step 1: Cut Your Lumber to Size

Cut all your lumber to size.
Rip 3 pieces of 1x2 @14.5" to 1-1/4 " thickness.
Nail and glue together with 1x2 @14.5" ( original thickness) Keep flush to back.
Repeat for the bottom of the door frame.

Step 2: Drill Holes

Use a Kreg jig to drill holes for pocket hole screws on the 1x4's @ 14.5" and the 1x2's @ 14.5".

As well as the two boards for the French Cleats.

Cut a 45 ° angle on the bottom side of both French Cleats.
Screw and glue one of them in "L" shape to the short side of the cabinet. Make sure the French Cleat is facing the right direction during assembly !
Screw and glue one of the 1x4 @14.5" in "L" shape to the bottom of cabinet as well.

Screw and glue with 1-1/4" screws the shorter of the 1x2 to the longer 1x2 together. Make sure its square. Repeat for the 1x4 of the cabinet.

Add the last 1x2 with 1-1/4 " thickness to the middle of the door. Keep it flush to the back.
Round over outside edges with a router.

Measure inside opening of door and cut plywood to fit it.
Draw outlines of pattern for mirror on the plywood and cut with either scroll saw or Jigsaw.
Sand rough edges on door and apply stain or Varnish, if wanted, to all pieces.
Apply mirror to the back of the cut outs with construction adhesive.
Drop in door panel and glue and brad nail it in place.
Measure inside cabinet and the door compartment and cut pegboard to fit.
Drop pegboard into cabinet and glue and screw into place.

Put your hinges in place on the cabinet and trace around. Put your door on top of your cabinet and transfer your marking to the door. Use a box cutter to score the outline.
Using a sharp chisel cut away the depth needed for the hinge.Mark the location of the screws and pre drill the holes.

Cut small wooden blocks and glue to the inside of door. Then glue and screw Pegboard into place.

Connect the cabinet to the door with the hinges.
Find studs in a wall where you wish to hang your cabinet
Level your French Cleat and attach with 2-3" screws to wall
Hang you cabinet. The French Cleats should just slide together and hold the Tool cabinet safely.