We present a study of the X±(5568) using semileptonic decays of the B0s meson using the full run II integrated luminosity of 10.4  fb−1 in proton-antiproton collisions at a center of mass energy of 1.96 TeV collected with the D0 detector at the Fermilab Tevatron Collider. We report evidence for a narrow structure, X±(5568), in the decay sequence X±(5568)→B0sπ± where B0s→μ∓D±sX, D±s→ϕπ± which is consistent with the previous measurement by the D0 Collaboration in the hadronic decay mode, X±(5568)→B0sπ± where B0s→J/ψϕ. The mass and width of this state are measured using a combined fit of the hadronic and semileptonic data, yielding m=5566.9+3.2−3.1(stat)+0.6−1.2(syst)  MeV/c2, Γ=18.6+7.9−6.1(stat)+3.5−3.8(syst)  MeV/c2 with a significance of 6.7σ.