Novel perspectives of controlling molecular systems have recently arisen from the possibility to generate attosecond pulses in the ultraviolet regime and tailor electron dynamics in its natural timescale. The cornerstone mechanism is the so-called charge migration, the production of a coherent charge transfer with sub-femtosecond oscillations across a molecule. Typically, charge migration is induced by the ionization of valence molecular orbitals. However, recent technological developments allow the generation of attosecond pulses in the x-ray regime. In this case, the absorption of photons creates core-hole states. In light elements, core-hole states mainly decay by Auger processes that, driven by electron correlations, involve valence orbitals. We theoretically demonstrate in a fluoroacetylene molecule a double-hole charge migration triggered by attosecond core-electron photoionization, followed by Auger electron relaxations. This opens a new route for inducing with x rays charge transfer processes in the sub-femtosecond time scale.