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AN EQUATION is an algebraic statement in which the verb is "equals" = . An equation involves an unknown number, typically called x. Here is a simple example:
x + 64 = 100.
"Some number, plus 64, equals 100."
We say that an equation has two sides: the left side, x + 64, and the right side, 100.
In what we call a linear equation, x appears only to the first power, as in the equation above. A linear equation is also called an equation of the first degree.
Now, the statement -- the equation -- will become true only when the unknown has a certain value, which we call the solution to the equation.
We can find the solution to that equation simply by subtracting:
x = 100 − 64
36 is the only value for which the statement "x + 64 = 100" will be true. We say that x = 36 satisfies the equation.
Now, algebra depends on how things look. As far as how things look, then, we will know that we have solved an equation when we have isolated x on the left.