Answer
$$d=-4\quad \mathrm{or}\quad \:d=9$$
Work Step by Step
Since the value inside the absolute value can be positive or negative and get the same number, we must consider both options. Doing this, we find:
$$2d-5=-13\quad \mathrm{or}\quad \:2d-5=13\\ d=-4\quad \mathrm{or}\quad \:d=9$$