05 chevy Silverado brake lights don't work

Note the diagram for stop lamps. Did you check voltage and ground, anywhere? Use a test light. See stop lamp fuse upper left, not only check the fuse, use a test light and check voltage at fuse, hot all the time. As you can see, orange wire carries voltage to stop switch, when that switch is activated, the white wire becomes hot and carries voltage to vehicle stop fuse, check that fuse the same way. At the lower stop lamps, the lite blue wire is voltage, the black wire is ground. If the rear turn and tail lamps work, the ground should be ok. Just my opinion.