Solving One-Variable Linear Equations

The easiest Linear Equations to solve, of course as expected, are the One-Variable Linear Equations. The only reason why they are easier to solve is because, as suggested by its name, it involves only one variable, and technically, we should try to isolate the variable by getting it by itself.

In order for our explanation to be as catchy as possible to you, we will begin solving a simple equation, involving one variable (written as “x”).


x + 9 = 6

Now, consider the equal sign to be the middle point where the variables are separated from the known values. Isolating the variable means that we should put the known values or numbers in one side and the variable in the opposite side of the equal sign.

By doing so, our equation will look like:

x = 6 - 9

You must bear in mind that when variables and/or numbers change side they also change their signs. Also, it is crucially important to remember that what is done to one side of the equation, the exact same thing must be done to the other side of the equation as well.

The last step is to subtract 6 from 9, which gives us -3. So, the value of the variable “x” is -3 (x = -3).