To remove adhesive residue from clothing, first rub an ice cube on the adhesive to freeze it, then use a dull knife to scrape away any excess adhesive. Next, apply vegetable oil to the adhesive until the adhesive begins to loosen. Use a dull knife again to scrape away any excess adhesive. Rinse well with a grease cutting detergent (such as dish detergent) and cold water. Continue to apply vegetable oil and rinsing with detergent and water until you've removed as much adhesive as possible.
Apply a laundry pre-soak, then launder as usual, but do not dry until all the adhesive and stains are gone, as heat sets stains. If any adhesive remains, place the clothing face down on an absorbent cloth and apply dry-cleaning fluid to the back of the stain/adhesive. Let the stain dry, then rinse thoroughly and launder as usual.
A commercial adhesive remover such as Goo Gone or Goof Off would also do the job.