Theory

# Multiplication Property of Equality

When rewriting equations it's important to make the the same operation on both sides to ensure that the equality still holds. So, if a number is multiplied to one side, the same number must be multiplied to the other side. In the equation $0.5x=5,$ $2$ can be multiplied to both sides. ${\color{#FF0000}{2\,\cdot\,}}0.5x={\color{#FF0000}{2\,\cdot\,}}5 \quad \Leftrightarrow \quad x=10$