Using a sample of $(448.1pm2.9)times10^6$ $psi(3686)$ events collected with the BESIII detector, we perform the first partial wave analysis of $psi(3686)rightarrow K^+K^-eta$. In addition to the well established states, $phi(1020)$, $phi(1680)$, and $K_3^*(1780)$, contributions from $X(1750)$, $rho(2150)$, $rho_3(2250)$, and $K^*_2(1980)$ are also observed. The $X(1750)$ state is determined to be a $1^{--}$ resonance. The simultaneous observation of the $phi(1680)$ and $X(1750)$ indicates that the $X(1750)$, with previous observations in photoproduction, is distinct from the $phi(1680)$. The masses, widths, branching fractions of $psi(3686)rightarrow K^+K^-eta$ and the intermediate resonances are also measured.