These facts form the basis of almost all the solving techniques that we"ll be looking at so it"s very important that you know them and don"t forget about them. One way to think of these rules is the following. What we do to one side of an equation we have to do to the other side of the equation. In this section we will be solving linear equations and there is a nice simple process for solving linear equations. Let"s first summarize the process and then we will work some examples. If the equation contains any fractions use the least common denominator to clear the fractions. We will do this by multiplying both sides of the equation by the lcd. Alternatively, you can simply multiply both sides by the largest denominator. This means clearing out any parenthesis, and combining like terms.