If you really want to tackle it without proper tools: with a non-magnetised thin torx loosen the screw till its ready to come out, then wrap a little bit of duct tape (sticky side out) around the head of a spare thin screwdriver, gently push the duct taped screwdriver on top of the loosened screw. The magic tape will lift the screws out.
When re-assembling, it's also a good way to fish out the screws that missed the holes completely when your expert fingers skills are classed as clumsy.