The property that justifies this statement is that of the Division Property of Equality. This property states that if you were to divide one side of an equation by a number, then you must divide the other side of the equation by the same number to ensure that the equation is still the same one that was started with. In the equation 3x=6, for example, to solve for x, one must divide both sides of the equation by three. By doing so, x is isolated, and we are able to find that x=2.
