slide out stops on one side on way out

If you have a mechanical slide and not hydraulic, check your linkages on the slide mechanism...accessible underneath, usually in the basement bins. Mine has a single motor attached to two square rods with bolts, extending to either end of the slide and finally attached to the gear that drives the slide. I had the exact same problem as you describe and the bolt on the linkage had sheared off. They are grade 8 bolts....be sure to replace with the same. You might have to search around a little to find them as not every hardware store carries them.

Remedy to make sure it doesn't happen again? Frequently check the tightness of each of the bolts on the linkage. As they get loose, it allows slop in the linkage and eventually will shear the bolt.