according to PEMDAS multiplication and division come before addition and subtraction, so why did she subtract the 3 from both sides before she divided both sides by negative 2?

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PEMDAS is the order of operations we use to simplify expressions. To slove equations (two expressions with an equal sign seperating it) we use order of operations backwards. We are solving for "x" so we need to undo the operations done to "x". Hope this helps you out :)