Disclosed herein are panelized wall systems and methods for their construction, wherein the wall systems have elastomeric joints that are resistant to cracking. The walls are constructed with adhesive-edge building panels. The adhesive-edge building panels are preferably fiber cement. The front surface of each panel has an adhesive preapplied to an edge of the panel. Panels are fastened to a frame with the adhesive-edges adjacent to each other. A joint tape is applied to the seam between the panels such that the edges of the joint tape adhere to the adhesive-edges of the adjacent panels. The wall is then finished with an elastomeric finish.