The invention relates to an air conditioning system for a motorized vehicle with means for conveying, for cooling, and for heating of air. The air conditioning system comprises a housing with flow guide devices and air vents, an evaporator, and a heat exchanger. The housing is developed with an air distribution element and a range of variation. The flow guide devices of the air vents are arranged within the air distribution element, and the heat exchanger is arranged within the range of variation. With the arrangement of the heat exchanger, it is possible to change the outer dimensions of the range of variation and therefore of the air conditioning system while maintaining unchanged functionality and by using identical components such that the air conditioning system can be adapted to the installation space of different motorized vehicle types.