Abstract
In this article we will look at ways to solve equations in the set of integers that are common in the Mathematical Olympiad. By solving equations in the set of integers, we can form in the student such qualities as self-search, the development of the field of thought. In the formation of skills for solving equations in the set of integers, attention is paid to the methods of solving problems. The majority of schoolchildren have difficulty solving equations in the set of integers. This is because they are not very trained to solve equations in these ways. Therefore, in the main part of the work we have revealed the general theory, methods of solving such equations.