Question

Which of the following equations, in its simplest form,

will be equivalent to 3x + 2 + (-5)?
O2 + 3x + 5
O x-1 +X-2 + x
0-3 - 3x – 1 + x
03 – 3x

Answer 1

Hi there!

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I believe your answer is:

`\boxed{x-1+x-2+x}`

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Here’s why:

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`\boxed{\text{Simplifying the Expression...}}\\\\3x+2+(-5)\\----------------\\\rightarrow 3x+2-5\\\\\rightarrow\boxed{3x-3}\\\\\text{This is not an answer choice, so we would find an expression equivalent to the one above.}`⸻⸻⸻⸻

`\boxed{2 +3x+5}\\\\\rightarrow 3x + 5 + 2\\\\\rightarrow \boxed{3x + 7}\\\\\text{This is \textbf{NOT} equivalent.}`

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`\boxed{x-1+x-2+x}}\\\\\rightarrow x+x+x -1-2\\\\\rightarrow \boxed{3x-3}\\\\\text{This is \textbf{equivalent}.}\\\\\text{This answer choice and the expression given has the same result when simplified.}`

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`\boxed{-3-3x-1+x}}\\\\\rightarrow-3-1-3x+x\\\\\rightarrow -4-2x\\\\\rightarrow \boxed{-2x-4}\\\\\text{This is \textbf{NOT} equivalent.}`

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`\boxed{3-3x}\\\\\rightarrow{-3x+3}\\\\\text{This is \textbf{NOT} equivalent.}`

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`\text{Option B, } x-1 +x-2 + x, \text{ should be the correct answer.}`

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Hope this helps you. I apologize if it’s incorrect.