Question

Peter says that the expressions 5 x minus 3 x plus 8 and 2 left parenthesis x plus 4 right parenthesis are not equivalent because one expression has a term that is subtracted and the other does not. Do you​ agree? Explain.
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Part 1
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Yes,
No,
the expressions
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are not
are
equivalent. The first​ expression, 5 x minus 3 x plus 8​, can be simplified to
  
enter your response here​, which
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does not equal
equals
2 left parenthesis x plus 4 right parenthesis.
​(Use the operation symbols in the math palette as​ needed.)

Answer 1

Yes, the expressions are equivalent. The first expression simplifies to 2x + 8, which equals 2(x + 4).

Explanation: 5x − 3x + 8 = (5x − 3x) + 8 = 2x + 8, and 2(x + 4) = 2x + 8. Peter’s idea about a “subtracted term” doesn’t change that like terms combine to give the same result.