Muzhukhoev at first considered applying to a medical faculty but in 1962 he entered the Faculty of History and Philology of the
Chechen-Ingush State Pedagogical Institute. In 1967, he graduated from it and he started teaching at a school in
Plievo. In 1968 Muzhukhoev went to work at the . At first he worked in sector of the economy, but with the advent of vacancies he was transferred to the sector of archeology and ethnography. In 1969 his first work, which was about the mountainous
Assa basin of Ingushetia, was published. In 1972 Muzhukhoev defended ahead of time his candidate thesis on the topic "medieval material culture of mountainous Ingushetia (13th – 17th centuries)". He was the one who for the first time write about the relationship of the Ingush material and spiritual culture with Georgian, Chechen and Ossetian. In February 1987 Muzhukhoev defended his doctoral thesis on the topic "Medieval Cult Monuments of the Central Caucasus", becoming the first Ingush to achieve the title of doctor of historical sciences. The thesis was later published as a
monograph in 1989. In 1988 Muzhukhoev was elected to the position of head of the history department of
Chechen-Ingush State University. In 1990, he achieved the title of
professor. == Works ==