A dual-clutch transmission for use in a motor vehicle having an engine and a driveline includes an output shaft adapted for connection to the driveline and a planetary gearset in constant driving engagement with the output shaft. An input shaft is driven by the engine. A first constant mesh gearset is in selective driving communication with a first member of the planetary gearset. A second constant mesh gearset is in selective driving communication with a second member of the planetary gearset. A first clutch is operable for establishing a releasable drive connection between the input shaft and the first constant mesh gearset. A second clutch is operable for establishing a releasable drive connection between the input shaft and the second constant mesh gearset. A motor is selectively drivingly coupled to a third member of the planetary gearset.