Theory

Addition 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 added to one side, the same number must be added to the other side. In the equation 4x7=5,4x-7=5, 77 can be added to both sides. 4x7+7=5+74x=12 4x-7{\color{#FF0000}{\,+\,7}}=5{\color{#FF0000}{\,+\,7}} \quad \Leftrightarrow \quad 4x = 12

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