Apparatus for servicing vehicle wheels including a wheel balancing device and a tire changing device, comprising: - a spindle shaft rotatably supported on a machine frame, wherein the spindle shaft is adapted for mounting and dismounting a tire/rim assembly or a wheel rim of a vehicle wheel on it or from it; - unbalance measuring means (3, 4) operatively connected to the spindle shaft, wherein the unbalance measuring means (3, 4) have at least one unbalance measuring direction (12, 12a, 12b) in which forces created by an unbalance of the tire/rim assembly (8, 9) or by the wheel rim are detected; - tire changer tools (5, 6 and 44) supported on the machine frame and arranged to assemble a tire onto a rim and to disassemble the tire from the rim, wherein the rim is mounted on the spindle shaft; - drive means designed to drive the spindle shaft within a range of rotational speed and torque adapted for assembling and disassembling the tire or for measuring forces created by an unbalance of the tire/rim assembly or of the wheel rim; characterized by - spindle supporting means supporting the spindle shaft on the machine frame and having rigid properties in a force acting range, within which forces are created between the respective tire changer tools (5, 6, 44) and the tire during the assembling or the disassembling of the tire onto the wheel rim or from the wheel rim, and elastic properties in the at least one unbalance measuring direction (12, 12a, 12b); - tool supporting means support the tire changer tools (5, 6, 44) on the machine frame within said force acting range which is arranged outside of a spatial unbalance measuring area within which the measuring directions (12, 12a, 12b) of the unbalance measuring means (3, 4) extend. - a spindle shaft rotatably supported on a machine frame, wherein the spindle shaft is adapted for mounting and dismounting a tire/rim assembly or a wheel rim of a vehicle wheel on it or from it; - unbalance measuring means (3, 4) operatively connected to the spindle shaft, wherein the unbalance measuring means (3, 4) have at least one unbalance measuring direction (12, 12a, 12b) in which forces created by an unbalance of the tire/rim assembly (8, 9) or by the wheel rim are detected; - tire changer tools (5, 6 and 44) supported on the machine frame and arranged to assemble a tire onto a rim and to disassemble the tire from the rim, wherein the rim is mounted on the spindle shaft; - drive means designed to drive the spindle shaft within a range of rotational speed and torque adapted for assembling and disassembling the tire or for measuring forces created by an unbalance of the tire/rim assembly or of the wheel rim; characterized by - spindle supporting means supporting the spindle shaft on the machine frame and having rigid properties in a force acting range, within which forces are created between the respective tire changer tools (5, 6, 44) and the tire during the assembling or the disassembling of the tire onto the wheel rim or from the wheel rim, and elastic properties in the at least one unbalance measuring direction (12, 12a, 12b); - tool supporting means support the tire changer tools (5, 6, 44) on the machine frame within said force acting range which is arranged outside of a spatial unbalance measuring area within which the measuring directions (12, 12a, 12b) of the unbalance measuring means (3, 4) extend.