A multi-speed transmission is provided for a motor vehicle and includes a housing, a drive shaft, an output shaft, at least four planetary gear sets, whereas each of the planetary gear sets comprises one sun gear, at least one planet, one planetary carrier and one ring gear. The transmission includes several shift elements in the form of at least four clutches and at least two brakes. The drive shaft is connectable through the second clutch to the sun gear of the first and second planetary gear sets. The sun gear of the fourth planetary gear set is connected to the housing. The ring gear of the fourth planetary gear set is connectable to the planetary carrier of the second planetary gear set. The planetary carrier of the fourth planetary gear set is connectable through the fourth clutch to the output shaft. The ring gear of the second planetary gear set is connected through the second brake to the housing. The drive shaft is connectable through the third clutch to the first brake. The first brake is connected to the housing. The invention also relates to a method for operating the transmission along with a motor vehicle with the transmission.