Low-lying collective states of {sup 130,132}Xe have been investigated by {gamma}-ray spectroscopy following {sup 12}C(Xe,Xe*){sup 12}C projectile Coulomb excitation. The one-phonon 2{sub 1,ms}{sup +} states have been identified: the 2{sub 4}{sup +} state at 2150 keV with B(M1;2{sub 4}{sup +} {yields} 2{sub 1}{sup +})=0.15(4){mu}{sub {mu}}{sup N} in {sup 130}Xe and the 2{sub 3}{sup +} state at 1985 keV with B(M1;2{sub 3}{sup +} {yields} 2{sub 1}{sup +})=0.22(6){mu}{sub N}{sup 2} in {sup 132}Xe. The evolution of the one-phonon 2{sub 1,ms}{sup +} states in the even-even stable xenon isotopic chain from the vibrators near N=82 to the {gamma}-soft nuclei toward midshell is discussed.