UX or User eXperience is a term coined to describe the design of a user centred product.
In this case we are talking about digital product design. This is the design of the interaction between a person and a device. It includes the way information is presented, what information and when. It encompasses UI – User Interface design. It is the process of discovering by research, testing and trial and error the best possible solution. This is the solution that best matches the requirements of the business, the needs of the user and all within the limitations of the technology at hand.
UX Design is a system of problem solving. It is done by first discovering and fully understanding the actual problem or challenge the business is facing and then, by various means and methods, discovering and designing the best possible solution. This might be best described as the elegant solution.