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Which expression is not equivalent to 3x−2

?(1 point)
Responses

3−x+2x−5+2x
3 minus x plus 2 x minus 5 plus 2 x

4x−4−x+2
4 x minus 4 minus x plus 2

2x+2+x
2 x plus 2 plus x

x+x−1−1+x
x plus x minus 1 minus 1 plus x

1 answer

To determine which expression is not equivalent to \(3x - 2\), we need to simplify each response and compare them to \(3x - 2\).

  1. First Expression: \(3 - x + 2x - 5 + 2x\)

    • Combining like terms: \[ (2x - x + 2x) + (3 - 5) = (3x) - 2 = 3x - 2 \]

  2. Second Expression: \(4x - 4 - x + 2\)

    • Combining like terms: \[ (4x - x) + (-4 + 2) = (3x) - 2 = 3x - 2 \]

  3. Third Expression: \(2x + 2 + x\)

    • Combining like terms: \[ (2x + x) + 2 = 3x + 2 \]
    • This is not equivalent to \(3x - 2\).

  4. Fourth Expression: \(x + x - 1 - 1 + x\)

    • Combining like terms: \[ (x + x + x) + (-1 - 1) = 3x - 2 \]

The third expression, \(2x + 2 + x\), simplifies to \(3x + 2\), which is not equivalent to \(3x - 2\). Therefore, the answer is:

\(2x + 2 + x\).