An insulating wall assembly features a plurality of insulation panels fitted together end-to-end and each having least one slot in a side thereof facing into an interior space of a building. At each slot, a respective set of supports each have an insertion portion engaged in the slot and a fastening portion reaching outwardly from said slot past the first face of the insulation panel. A respective framing member is fastened to each set of supports with a longitudinal dimension of said framing member running along the slot in which said set of supports are engaged. Each framing member has a first leg fastened face-to-face with the fastening portions of the respective set of supports and a second leg facing away from the insulation panels to present a surface for fastening of wall-finishing panels thereto. Holes in the supports accommodate electrical wiring or other lines within the finished wall assembly.