Which expression is not equivalent to 3x−2

Question

?(1 point)
Responses

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

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

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

4x−4−x+2

Answer 1

Let's simplify each of the expressions provided and see which one is not equivalent to \(3x - 2\).

1. Expression: \(2x + 2 + x\)
   Simplifying:
   \[ 2x + x + 2 = 3x + 2 \]

2. Expression: \(x + x - 1 - 1 + x\)
   Simplifying:
   \[ x + x + x - 1 - 1 = 3x - 2 \]

3. Expression: \(3 - x + 2x - 5 + 2x\)
   Simplifying:
   \[ 3 - 5 - x + 2x + 2x = -2 + 3x = 3x - 2 \]

4. Expression: \(4x - 4 - x + 2\)
   Simplifying:
   \[ 4x - x - 4 + 2 = 3x - 2 \]

Now we compare each result with \(3x - 2\):

1. \(2x + 2 + x = 3x + 2\) (not equivalent)
2. \(x + x - 1 - 1 + x = 3x - 2\) (equivalent)
3. \(3 - x + 2x - 5 + 2x = 3x - 2\) (equivalent)
4. \(4x - 4 - x + 2 = 3x - 2\) (equivalent)

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

\(2x + 2 + x\).