Major objective of this lecture is to present on Solving Equations by Adding and Subtracting. Addition and subtraction equations – First Glance. To solve an equation means to find a value for the variable that makes the equation true. Whatever you do to one side of the equation, you must also do to the other side. This lecture illustrates the process of solving equations of various forms. It also shows you how to check your answer three different ways: algebraically, graphically, and using the concept of equivalence.