out West
/ˌaʊt ˈwɛst/adverb
Originally: in or to the territory to the west of the early American settlements; (in later use) in or to the distant West of the United States. Also in extended use: in or to the western parts of Canada or Australia.
Origin
Mid 19th century; earliest use found in Dakota Sun (Redfield, Dakota). Apparently partly from out preposition interjection + west, and partly from out preposition interjection + west.