Run your hand along the surface of the wallpaper to detect any buckling or crinkling that would indicate the surface of the textured wall was not properly primed before wallpapering. If the wall was not properly primed, you will have more difficulty removing the wallpaper without damaging the texture of the wall. Look for any loose spots in corners or seams where the wallpaper might come off easily.
Mix a solution of one part fabric softener with one part hot water in a spray bottle. You can try commercial adhesive removers, but this solution is inexpensive, gentle and less likely to damage wall texture underneath.
Spray the wallpaper with the solution in corners and along seams where it will be easiest to pull up the paper. Allow a few minutes for the solution to saturate the wallpaper. Do one section of the wall at a time.
Pull off the wallpaper, using your hands and gently separating it from the surface of the wall with a scraper. Pull and scrape gently so you don't knock off any texture from the wall surface. Repeat for each section of wallpaper.
Wipe down the walls using a sponge and hot water to remove any glue residue. Allow a few days to air dry before priming the textured walls to paint or wallpaper again.