An inflammatory, painful, itching disease of the skin; acute or chronic in nature with dry or moist lesions is called:

The condition described as an inflammatory, painful, itching disease of the skin, which can be acute or chronic and may present with either dry or moist lesions, fits the definition of eczema. Eczema, often referred to as atopic dermatitis, is characterized by a variety of symptoms including dryness, redness, itching, and inflammation. It can manifest in different forms and may appear in acute episodes or as a long-term chronic condition, sometimes accompanied by crusted lesions or oozing in the moist variant. This versatility in presentation and the combination of symptoms—itching, inflammation, and varying lesion types—makes eczema the most appropriate choice in this context.

Other skin conditions mentioned, while they may have overlapping symptoms or characteristics, do not fully encapsulate the specific combination of features described. For instance, psoriasis is primarily known for its silvery, scaly patches and tends to be more chronic without the moist lesions typical of eczema. Dermatitis is a broader term referring to skin inflammation and could include a range of conditions, but the specific acute/chronic nature and type of lesions make eczema the distinguishing answer. Rosacea primarily affects the facial area and is characterized by redness and visible blood vessels rather than the itchy, inflammatory lesions described in the question.