The Balistky-Kovchegov equation has been solved including the impact-parameter dependence. Previous attempts to include this dependence have been spoiled by the presence of the so-called Coulomb tails produced by the evolution. We show, that using the collinearly-improved kernel to the BK equation, the Coulomb tails are heavily suppressed which allows for a correct description of existing data⁠—both of the structure function and exclusive vector meson production⁠—, as well as for the prediction of processes that are feasible for measurement at future facilities such as EICs.