If you have dry scalp and normal hair, oily scalp and dry hair or any other combination that doesn’t seem to match, treat each according to its needs. A dry scalp may need moisturizing shampoo or conditioner and infrequent washing. An oily scalp combined with dry hair may require pre-treating the hair with coconut oil or conditioner, gently massaging the scalp thoroughly with shampoo, and then a thorough rinse and re-application of conditioner.