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What property is this 5x=37 x=7.4

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Without the answer choices, its hard to say for sure. However, it seems like you're dividing both sides by 5 to isolate x. So your teacher is most likely aiming for "division property of equality". Alternatively, you can multiply both sides by 1/5 = 0.2 to achieve the same result. So you're also using the multiplication property of equality. Note: division and multiplication are very closely related operations.

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