The charmless decays B-+/- -> K+K-pi(+/-) and B -> pi(+)pi(-)pi(+/-) are reconstructed in a data set of pp collisions with an integrated luminosity of 1.0 fb(-1) and center-of-mass energy of 7 TeV, collected by LHCb in 2011. The inclusive charge asymmetries of these modes are measured to be A(CP)(B-+/- -> K+K-pi(+/-)) = -0.141 +/- 0.040(stat) +/- 0.018(syst) +/- 0.007(J/psi K-+/-) and A(CP)(B +/- -> pi(+)pi(-)pi(+/-)) = 0.117 +/- 0.021 (stat) +/- 0.009 (syst) +/- 0.007(J/psi K-+/-), where the third uncertainty is due to the CP asymmetry of the B-+/- -> J/psi K-+/- reference mode. In addition to the inclusive CP asymmetries, larger asymmetries are observed in localized regions of phase space.