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If two things are equal (as implied by the equals sign), then if you do something to one of those things (one side of the equal sign), unless you do the same to the other thing (the other side of the equals sign), then the two things will no longer be equal.

Thus when solving, if you do not so the same to both sides, the sides will no longer be equal to each other and you will not solve the problem correctly.

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Q: When solving an equation why is it necessary to perform the same operation on each side of the equals sign?
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When solving for the unknown variable what operation is preformed on one side of the equal sign?

The main rule is that whatever rule you perform on one side of the equation must also be performed on the other side of the equation. You have to choose the operation in such a way as to isolate the variable you want to solve for.


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