Abstract: A replaceable, double-sided blade unit is disclosed for use with a handle member in a shaving system. The handle member has an elongated grip portion and a blade unit support member extending transversely to the axis of the grip portion. The support member includes a pair of flange portions, with the flange portions extending transversely to the support member and projecting in directions generally opposed to one another. A member is provided for connecting the grip portion to the support member. The blade unit comprises an elongated body portion having a base, a cap member, and two opposed guard surfaces for contact with the skin. A razor blade portion is disposed between the base and the cap member. The razor blade portion has at least one pair of separate, opposed, thin, planar elongated cutting members permanently fixed to the body portion with their cutting edges disposed parallel to, and spaced from their respective opposed guard surfaces in shaving relation to the guard surfaces.