We show that smooth numbers are equidistributed in arithmetic progressions to moduli of size
$x^{66/107-o(1)}$. This overcomes a longstanding barrier of
$x^{3/5-o(1)}$ present in previous works of Bombieri, Friedlander and Iwaniec, Fouvry and Tenenbaum, Drappeau, and Maynard. We build on Drappeau’s variation of Linnik’s dispersion method and on exponential sum manipulations of Maynard, ultimately relying on optimized Deshouillers–Iwaniec-type estimates for sums of Kloosterman sums.