Enkhe is a second-generation conductor. He graduated from the Ural Conservatory where he majored in cello and symphonic conducting; his teacher was M. Paverman. He is a prize-winner of the Prokofiev International Conducting Competition and the Award of the Governor of the Sverdlovsk Region.

In 1991 he started working as a cellist and conductor assistant of the Ural Philharmonic Orchestra and in 1996 he became its conductor. From 1998 to 2006 Enkhe was the Director of the Sverdlovsk Philharmonic Chamber Orchestra. At present, he is a conductor of the Ural Philharmonic Orchestra, participating in about 30 programs every year. Under his directorship, the orchestra gave performances with Natalia Gutman, Eliso Virsaladze, Paul Badura-Skoda, Naum Shtarkman, Dmitry Bashkirov, Boris Belkin, Sergei Stadler, Nikolai Lugansky, and Graf Murzha.

He is one of the founders of the Ural Youth Symphony Orchestra (2006) and its chief conductor. The orchestra takes part in prestigious international festivals in Russia and other countries, in the subscription series of concerts by the Sverdlovsk Philharmonic, educational programs for students and charitable projects for fosterlings of orphanages.