Using a data sample corresponding to an integrated luminosity of 0.35 fb(-1) collected by LHCb in 2011, we report the first evidence of CP violation in the decays of B-s(0) mesons to K-+/-pi(-/+)pairs, A(CP)(B-s(0) -> K pi) = 0.27 +/- 0.08(stat) +/- 0.02(syst), with a significance of 3.3 sigma. Furthermore, we report the most precise measurement of CP violation in the decays of B-0 mesons to K-+/-pi(-/+) pairs, A(CP)(B-0 -> K pi) = -0.088 +/- 0.011(stat) +/- 0.008(syst), with a significance exceeding 6 sigma.