Ensure the rimtape is properly centered in the rim. If you have double-walled rims, the edges of the holes through which the nipples are accessed can cut a pressurised tube, or if the tube is pushed into the hole by the pressure, it may overexpand within the hole and rupture.
Check the rim's joint, opposite the valve hole. Most rims (all cheap rims) have pinned joints rather than being welded into a proper hoop. Over time, the joint may have pulled apart enough for the edges to cut the tube.
Assuming the rimtape is in good condition and properly installed, the next suspect would be pinching when installing the tyre: the tube should be inflated enough to hold its shape and prevent it from being trapped between the tyre bead and the rim. When fitting, most tyre+rimtape+rim combinations shouldn't require leverage to get the last section of bead over the rim wall. If the tyre is at the lower range of bead diameter tolerance and the rim well is particularly shallow (especially for double-wall rims) or you have a particularly thick rimtape, this may be difficult. At the point when the bead feels so tight you can't push it over, start working the tire from the opposite point on the rim, pulling the bead towards the middle of the rim and in towards the hub. Move your hands away from each other, keeping tension on the sidewall so the tyre doesn't pop up again. When your hands reach the tight spot, you should hopefully have relieved enough tension to push the last section of bead over the wall, or at least make some progress.