Forget the garlic, and don't ! use vinegar on foliage, ever. If you use the Neem oil weekly you'll eventually get a systemic effect, but it's such a pain.
For an immediate treatment, put it in the bathtub, and spray it off with your shower head. Lukewarm water. Both spider mites and aphids hate water on them. You must do it probably 3 times, within a week or so to be sure of getting any new ones that hatch after the first go. One treatment of anything never cuts it. Clean around where the plant was, thoroughly with soap on a sponge or paper towel.
Indoor conditions are very favorable for spider mites especially - they love the weather warm and dry, so if you can repeat the showering process every couple of weeks that will help to keep them at bay. A spray bottle of water 'misted' around the plants regularly (or whenever you walk by) will also help. They love humidity, too.
