Self-levelling equipment for manipulating solid surfaces comprising: - a support frame configured to be operatively connected to a self-propelled machine, - manipulating means connected in a compliant way to said frame so as to be able to rotate, relative to said frame, around a rotation axis and configured to handle said solid surface, - support means constrained in a compliant way to said frame so as to be able to move, relative to said frame, along a main plane transversal to said rotation axis and including at least a second bulkhead expanding parallel to said main plane and comprising at least - a support surface configured to move, when said equipment is in use, in support of said solid surface, - a first guide arranged on a side of said support means, opposite said support surface, - two second guides which are separate and positioned at opposite sides of said support means with respect to an intermediate trajectory normal to said solid surface, when said equipment is in use, and passing through said rotation axis, - adjustment means configured to adjust the relative position between said frame and said support means and comprising a first pin extending transversally to said main plane, movably engaged in said first guide and constrained in a compliant way to said frame so as to be able to rotate on command, relative to said frame, around an axis spaced from said first pin and parallel to said rotation axis in order to move, in proportion to said rotation, said support means relative to said frame along at least one direction parallel to said main plane, wherein said frame comprises a first bulkhead developed parallel to said main plane and including at least two second pins developed transversally to said main plane each movably engaged in a respective said second guide, and wherein said equipment is characterised by further comprising: - a side plate constrained to said second pins at the ends of said second pins opposite to said first bulkhead and extending parallel to said main plane in such a way as to prevent relative displacements between said frame and said support means transversally to said main plane. - a support frame configured to be operatively connected to a self-propelled machine, - manipulating means connected in a compliant way to said frame so as to be able to rotate, relative to said frame, around a rotation axis and configured to handle said solid surface, - support means constrained in a compliant way to said frame so as to be able to move, relative to said frame, along a main plane transversal to said rotation axis and including at least a second bulkhead expanding parallel to said main plane and comprising at least - a support surface configured to move, when said equipment is in use, in support of said solid surface, - a first guide arranged on a side of said support means, opposite said support surface, - two second guides which are separate and positioned at opposite sides of said support means with respect to an intermediate trajectory normal to said solid surface, when said equipment is in use, and passing through said rotation axis, - a support surface configured to move, when said equipment is in use, in support of said solid surface, - a first guide arranged on a side of said support means, opposite said support surface, - two second guides which are separate and positioned at opposite sides of said support means with respect to an intermediate trajectory normal to said solid surface, when said equipment is in use, and passing through said rotation axis, - adjustment means configured to adjust the relative position between said frame and said support means and comprising a first pin extending transversally to said main plane, movably engaged in said first guide and constrained in a compliant way to said frame so as to be able to rotate on command, relative to said frame, around an axis spaced from said first pin and parallel to said rotation axis in order to move, in proportion to said rotation, said support means relative to said frame along at least one direction parallel to said main plane, wherein said frame comprises a first bulkhead developed parallel to said main plane and including at least two second pins developed transversally to said main plane each movably engaged in a respective said second guide, and wherein said equipment is characterised by further comprising: - a side plate constrained to said second pins at the ends of said second pins opposite to said first bulkhead and extending parallel to said main plane in such a way as to prevent relative displacements between said frame and said support means transversally to said main plane. - a side plate constrained to said second pins at the ends of said second pins opposite to said first bulkhead and extending parallel to said main plane in such a way as to prevent relative displacements between said frame and said support means transversally to said main plane.