Abstract: A brake device for a motor vehicle with two axles, including at least one axle with an electric traction motor for driving and braking at least one wheel arranged on the axle, where energy can be recovered by means of the traction motor during braking. Each wheel has a wheel brake. A pressure supply is provided in the form of a piston-cylinder unit, which can both build up pressure and reduce pressure. The pressure supply forms part of a pressure supply device, having at least two connections, switchably connected by respective valves, to the brake circuits, an ABS/ESP unit and/or an actuating unit. An open-loop and closed-loop control device controls the at least one electric traction motor and components of the pressure supply device such that a braking deceleration can be set by closed-loop control for each brake circuit and/or each axle, with different braking torques at the respective axles.