Moisten a cotton ball with rubbing alcohol. Blot the ballpoint pen stain with the cotton ball, wetting the entire stain.
Blot the wet area with a dry, white paper towel. The ink will transfer from the fabric to the paper towel. As the area becomes dry, apply additional rubbing alcohol to the surface using a new cotton ball. Continue alternating with the paper towel and the rubbing alcohol until the stain lifts completely.
Place the item in the washer, and launder it according to the care label instructions. Add 1 to 2 tsp. of liquid laundry detergent to the wash water. Laundering the item removes all traces of the rubbing alcohol.
Inspect the item before drying to make sure the stain has disappeared completely. Dry the item in the dryer or on a clothesline, according to the care label.