Equipment aiming at allowing the shifting of a wall or a part of it of whatever shape, dimension and constitutive material, from a position to another within a real estate unit avoiding the whole demolition of the same wall and its rebuilding in the new position, wherein said equipment is made up of two structures mounted as a frame, of which one is placed on one side of the wall and the other symmetrically sheltered by the opposite one, made joint between them and to the wall through means of conjunction and made up of rods or parts of them linked and made joint, and that each of the two structures presents at least two upright rods pushed against the wall and placed in a predetermined reciprocal distance, with the upper limb of each upright rod situated a little below the top of the wall and the lower limb a little upon the floor, and that in correspondence with each of the above-mentioned lower limbs it is present a horizontal rod, having an end pushed against the wall and the other end placed in a predetermined distance from the same wall and containing a means of regulation of the wall verticality by the micrometric type of screw aimed at reinstating the verticality of the wall in the new position after the shifting.