Twice the sum of two consecutive integers is \(k\) less than five times the smaller integer, where \(k\) is a positive integer. What is the larger integer, in terms of \(k\) ?
(A)\(k + 2\) (B)\(k + 3\) (C)\(k + 5\) (D)\(2k + 2\) (E)\(2k + 6\)
B