turn signal indicator light

Sooo, I recently changed all my bulbs to LED and switched out the relay. I am happy with the results, but i noticed that the new LED turn signal indicator bulb wasn't lighting up very bright.. So I fiddled with it and it began to work properly, but only if I held it. When I hold it, the bulb socket is grounding out to the tach housing.... So I fiddle with it some more and blow the fuse. So Brothers and Sisters of the wrench..... both the wires that go to the bulb are both hot from the left and right blinkers. Can I combine those hots to one side of the bulb socket and then run a ground to the frame? also... any reason the front left light wouldn't work even if it is a new bulb and wired properly?