We report the measurement of an inclusive partial branching fraction for charmless semileptonic B decay and the extraction of \V-ub\. Candidates for B-->X-u.nu are identified with a novel X-u reconstruction method based on neutrino reconstruction via missing 4-momentum and a technique called "simulated annealing." Based on 86.9 fb(-1) of data taken with the Belle detector, we obtain DeltaB(B-->X-u.nu;M-X<1.7 GeV/c(2),q(2)>8.0 GeV2/c(2))=[7.37+/-0.89(stat)+/-1.12(syst)+/-0.55(b-->c)+/-0.24(b-->u)]x10(-4) and determine \V-ub\=[4.66+/-0.28(stat)+/-0.35(syst)+/-0.17(b-->c)+/-0.08(b-->u)+/-0.58(theory)]x10(-3).