Someone who is right-wing in politics is usually someone who supports social or economic conservatism. In other words, someone who is "right-wing" usually supports tradition and the way things are. People who are extremely right-wing are called "reactionary", and want to either return to the way things were before, such as neoreaction, or more often start as a reaction against left-wing ideas which are spreading in a country.
The right-wing supports tradition and authority. The right-wing in some countries, like the United States, may also usually be in support of social liberalism and a capitalist economy where the government has little influence. Usually the right-wing thinks of society as similar to a living thing, what is called "organic society". They believe that society's customs and traditions are a collection of things that we have learned from the past and are useful and should be maintained as much as possible.
In the United States
One of the most popular right-wing president to many conservatives in the United States is Ronald Reagan.
Right-wing Facts for Kids. Kiddle Encyclopedia.