The absolute value of an expression is always a non-negative value. So, the absolute value of the expression 2x - 4, represented by |2x - 4|, is always greater than or equal to 0, no matter the values of x:
|2x - 4| ≥ 0
Therefore, the inequality presented doesn't have a solution, because |2x - 4| will never be less than 0. So, it can't be less than or equal to -5.
Thus, the answer to this problem is DNE.