Dividing each side of an equation by the same nonzero number yields an equivalent equation. Let $a,$ $b,$ and $c$ be real numbers. The Division Property of Equality is an axiom, so it does not need a proof to be accepted as true. This property is one of the Properties of Equality that can be used when solving equations. As can be observed, by dividing both sides of the equation by $5,$ the variable $x$ was isolated and the solution of the equation was found. Note that the Division Property of Equality also holds true if $a,$ $b,$ and $c$ are complex numbers.