The present disclosure describes a desalination system, comprising a membrane distillation unit; a preheater having a liquid inlet and a liquid outlet, the outlet being in communication with the inlet; an evaporator in communication with the liquid outlet of the MD, and having a fluid inlet configured to provide heat to aqueous liquid in the evaporator, the evaporator having a vapor outlet; at least one adsorption-desorption unit, having a vapor inlet in communication with the vapor outlet of the evaporator, the AD including a fluid inlet configured to receive either a heating or a cooling fluid and a fluid outlet, the AD having a vapor outlet and further including a fluid inlet in communication with the fluid inlet of the AD, a fluid outlet in communication with the heating fluid inlet of the preheater; and a condenser in communication with the permeate vapor outlet of the MD or the AD or both and having a condensation outlet.