A brake device for a motor vehicle with two axles in which at least one axle has an electric traction motor for driving and braking at least one wheel arranged on an axle, and in which energy can be recovered by means of the traction motor during braking, each wheel having a wheel brake. The brake device includes a pressure supply having an electric motor-driven pump in the form of a piston-cylinder unit or a rotary pump, which can both build up pressure and reduce pressure, and which is part of a pressure supply device. An open-loop and closed-loop control device controls the traction motor and components of the pressure supply device such that a braking deceleration can be set by closed-loop control individually for each brake circuit, each axle or wheel brakes of an axle, with different braking torques at the respective axles or wheel brakes of an axle.