Question 368285
2-|-x|=5.  This equation is the same as 2-|x|=5, or -|x|=3, after transposition. The solution set of this equation is the empty set, because -|x| is non-positive, and so can't be equal to 3.
Similarly for -|x-2|>1: a non-positive quantity can't be greater than a positive quantity, so the solution set is the empty set.