Remove ballpoint pen ink from a white shirt by applying rubbing alcohol to the stain and blotting with a clean white towel, according to About.com. If that doesn't work, follow with an application of foaming shaving cream, and repeat the blotting before laundering the shirt as usual.
Working from the outside in, add a small amount of rubbing alcohol to the ink spot, states About.com. Let it sit for several minutes, and then blot the stain with a clean, white cloth or layers of paper towels until the stain lifts. If rubbing alcohol doesn't remove the ink, apply foaming shaving cream to the area and blot again. Rinse the spot well, and then launder the shirt as usual. Before drying, make sure the stain has lifted completely.