Given an equation, multiplying each side of the equation by the same number yields an equivalent equation. Let $a,$ $b,$ and $c$ be real numbers. The Multiplication Property of Equality is an axiom, so it does not need a proof. This property is one of the Properties of Equality that can be used when solving equations. Consider the following example. Here, by multiplying both sides of the equation by $4,$ the variable $x$ was isolated and the solution of the equation was found. Note that the Multiplication Property of Equality also holds true if $a,$ $b,$ and $c$ are complex numbers.