Given an equation, multiplying each side of the equation by the same number yields an equivalent equation.

The Multiplication Property of Equality also holds true if $a,$ $b,$ and $c$ are complex numbers. This property is one of the Properties of Equality that can be used when solving equations. $$\begin{array}{rl}x÷4& =2\\ x÷4\times 4& =2\times 4\\ x& =8\end{array}$$ To isolate the variable, the division by $4$ can be eliminated by multiplying both sides of the equation by $4,$ since multiplication is the inverse operation of division.