Which expression is not equivalent to 3x−2 ?(1 point) Responses 2x+2+x 2 x plus 2 plus x 4x−4−x+2 4 x minus 4 minus x plus 2 x+x−1−1+x x plus x minus 1 minus 1 plus x 3−x+2x−5+2x

1 answer

To determine which expression is not equivalent to \(3x - 2\), let's simplify each of the provided expressions one by one.

  1. Expression: \(2x + 2 + x\)
    Simplification:
    \(2x + x + 2 = 3x + 2\)
    Equivalent to: \(3x + 2\)

  2. Expression: \(4x - 4 - x + 2\)
    Simplification:
    \(4x - x - 4 + 2 = 3x - 2\)
    Equivalent to: \(3x - 2\)

  3. Expression: \(x + x - 1 - 1 + x\)
    Simplification:
    \(x + x + x - 1 - 1 = 3x - 2\)
    Equivalent to: \(3x - 2\)

  4. Expression: \(3 - x + 2x - 5 + 2x\)
    Simplification:
    \(3 - 5 + 2 - x + 2x = 0 + 3x - x = 3x - 2\)
    Equivalent to: \(3x - 2\)

Now, we analyze the equivalent results:

  • Expression 1 is \(3x + 2\) (not equivalent)
  • Expression 2 is \(3x - 2\) (equivalent)
  • Expression 3 is \(3x - 2\) (equivalent)
  • Expression 4 is \(3x - 2\) (equivalent)

The expression that is not equivalent to \(3x - 2\) is:

Response: \(2x + 2 + x\) (which simplifies to \(3x + 2\))