Question

Which expression is not equivalent to 3x−2
?(1 point)
Responses

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

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

Answer 1

To determine which expression is not equivalent to \(3x - 2\), we will simplify each of the given expressions:

1. **For** \(4x - 4 - x + 2\):
\[
4x - x - 4 + 2 = 3x - 2
\]

2. **For** \(2x + 2 + x\):
\[
2x + x + 2 = 3x + 2
\]

3. **For** \(x + x - 1 - 1 + x\):
\[
x + x + x - 1 - 1 = 3x - 2
\]

4. **For** \(3 - x + 2x - 5 + 2x\):
\[
3 - 5 + 2x + 2x - x = 3 - 5 + 3x = -2 + 3x = 3x - 2
\]

Now, comparing all of them to the original expression \(3x - 2\):
- \(4x - 4 - x + 2\) simplifies to \(3x - 2\) (equivalent)
- \(2x + 2 + x\) simplifies to \(3x + 2\) (not equivalent)
- \(x + x - 1 - 1 + x\) simplifies to \(3x - 2\) (equivalent)
- \(3 - x + 2x - 5 + 2x\) simplifies to \(3x - 2\) (equivalent)

Thus, the expression that is **not equivalent** to \(3x - 2\) is:
\[
\boxed{2x + 2 + x}
\]