A guide system for guiding a movably supported furniture part , in the form of a folding door or a folding-sliding door formed by a first door wing and a second door wing , wherein the door wings are hingedly connected to one another by at least one middle hinge , comprising: - a longitudinal guide rail , - at least one guiding device configured to be arranged on the first door wing and for moving the furniture part in a longitudinal direction (L) along the longitudinal guide rail , - at least one carrier for hingedly supporting the furniture part via the second door wing , wherein the at least one carrier is movable in a direction (Z) extending transversely to the longitudinal direction (L) of the longitudinal guide rail , wherein the at least one carrier includes a receiving device for receiving the guiding device , and the carrier , in the mounted position, is configured to be moved into a transfer position in which the receiving device is arranged adjacent to the longitudinal guide rail , - a compensation device for compensating for a height difference (X) between the receiving device and the longitudinal guide rail , characterized in that - the compensation device is arranged in a region between the longitudinal guide rail and the carrier and/or the receiving device , and the guiding device is configured to be transferred to and from between the longitudinal guide rail and the receiving device via the compensation device , - the compensation device is formed by a running surface arranged at an incline relative to a profile portion extending along the longitudinal guide rail , - the guiding device includes at least one running wheel , wherein the at least one running wheel is configured to be transferred to and from between the longitudinal guide rail and the receiving device via the compensation device , and - the receiving device includes a running surface and that the at least one guiding device , upon positioning in the receiving device , contacts the running surface or has a distance to the running surface . - a longitudinal guide rail , - at least one guiding device configured to be arranged on the first door wing and for moving the furniture part in a longitudinal direction (L) along the longitudinal guide rail , - at least one carrier for hingedly supporting the furniture part via the second door wing , wherein the at least one carrier is movable in a direction (Z) extending transversely to the longitudinal direction (L) of the longitudinal guide rail , wherein the at least one carrier includes a receiving device for receiving the guiding device , and the carrier , in the mounted position, is configured to be moved into a transfer position in which the receiving device is arranged adjacent to the longitudinal guide rail , - a compensation device for compensating for a height difference (X) between the receiving device and the longitudinal guide rail , characterized in that - the compensation device is arranged in a region between the longitudinal guide rail and the carrier and/or the receiving device , and the guiding device is configured to be transferred to and from between the longitudinal guide rail and the receiving device via the compensation device , - the compensation device is formed by a running surface arranged at an incline relative to a profile portion extending along the longitudinal guide rail , - the guiding device includes at least one running wheel , wherein the at least one running wheel is configured to be transferred to and from between the longitudinal guide rail and the receiving device via the compensation device , and - the receiving device includes a running surface and that the at least one guiding device , upon positioning in the receiving device , contacts the running surface or has a distance to the running surface . <EOS>