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The error of this is that it cancels the two numbers "2" what I mean is that they are not even similar to eliminate the 2x there would have to be one equal and there is not so the exercise would remain the same as this without canceling 2x / x +2

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The mistake in this problem is that the 2x and the 2 don't match so they can't cancel.

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The mistake in this problem is that the x was canceled out when it shouldn't have been.

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simplifying this is wrong because the answer is supposed to be 3x + 1 / x

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I don't think the answer is correct because it would have to be (x + 2) (x-2), but I am also doubtful if that form is also correct

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Here in this problem, the x did not have to be eliminated, it had to remain as it was.
x+2/x+3

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The person could’ve been able to simplify this more by also factoring out the 6 because it’s a multiple of 3 so it could be 3+2x

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I think the answer should be (x-2)(x+2)

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the answer is supposed to be 3 + 2x

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In this one you have a difference of squares so it should be (x+2)(x-2)

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The answer should have been 3+2x