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Jane is going to solve the equation below: 8x-19=-12x+618 x − 19 = − 12 x + 61 Jane thinks the first step should be to subtract 12x from both sides of the equation, but Allie thinks she should add 12x to both sides of the equation. Who is correct and how do you know?

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musiclover10045

Allie is correct, because when solving you need to eliminate X from one side of the equation. Since the value on the right side is -12x, adding 12x to that would make it 0 ( eliminating it from the equation).

hyperrspace

Allie is right, Jane is wrong.

12x already has a leading negative, which makes it -12x. If Jane subtracts 12x, she will end up with -24x. If you follow Allie, and add 12x, the result will be 20x on the left side, and no x on the right!

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