A system is suitable for connecting multiple implements to a three-point hitch of mobile machinery for controllable side-shifting movement of the connected implements. The system comprises first, second and third apparatuses, each apparatus comprising a first framework, a slidable second framework laterally slideable relative to the first framework, at least one connector supported by the slidable second framework for connecting the slidable second framework to one of the implements, and at least one driver connected to the first framework and the slidable second framework for driving the slidable second framework laterally back and forth relative to the first framework. The second apparatus is attached to one side of the first apparatus and the third apparatus is attached to the other side of the first apparatus.