We evaluate the O(alpha(em)/alpha(s)) correction to the rate of B -->X(s)gamma decay, i.e. we resum all the O[(alpha(em)lnM(W)(2)/m(b)(2))X (alpha(s)lnM(w)(2)/m(b)(2))(n)] corrections for n = 0,1,2,..... Our calculation differs from the previously available one by that makes into account the complete relevant set of operators. The correction is found to be negligible, i.e. it is below 1%, in accordance with the former results. (C) 2000 Elsevier Science B.V. All rights reserved.