Doublesided carpet tape is a very sticky tape that is reinforced with threads to help hold the adhesive in place between the carpet and the subfloor. The adhesive used to produce the carpet tape is very sticky, which is an effective feature when the tape is in use. It is also the very feature that can make removing doublesided carpet tape from the back of the carpet difficult. Effective adhesive removers are on the market, however, that will help remove the adhesive without damaging the carpet backing if used correctly.
Pull the carpet back away from the floor to expose the doublesided carpet tape on the back side of the carpet.
Rub as much of the adhesive off the carpet backing as possible by hand. Small bits of the adhesive will likely prove to be quite stubborn, so leave that adhesive where it is and remove as much of the rest of the adhesive as possible by balling the adhesive up and removing it in clumps.
Put on a pair of chemical resistant gloves, chemical splash goggles, long pants, long-sleeve shirt and shoes or work boots.
Apply gel- or paste-based adhesive remover directly to the stubborn adhesive with a small, inexpensive paint brush. Do not use a liquid adhesive remover because it will be impossible to control. Be careful not to allow the adhesive remover to begin to penetrate the carpet backing. Allow the adhesive remover to soften the adhesive for 15 to 30 minutes.
Scrape the adhesive and the remover away from the carpet backing with a metal or plastic scraper or putty knife. Repeat this process until you have removed the unwanted adhesive. This may require multiple applications in the same treated areas.