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Multiplication Property of Equality

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=5,0.5x=5, 22 can be multiplied to both sides. 20.5x=25x=10 {\color{#FF0000}{2\,\cdot\,}}0.5x={\color{#FF0000}{2\,\cdot\,}}5 \quad \Leftrightarrow \quad x=10