Your answer is A.
2x - 6 = 2x + 8
Just looking at this, it doesn’t make sense. Two times a number - 6 cannot equal two times the same number +8.
But solving it mathematically, we want to get the variables on one side of the equation, so we subtract 2x from both sides:
2x - 2x -6 = 8
Then add 6 to both sides:
2x - 2x = 14
0 = 14 is untrue.
The other options’ answers:
B: x = 4.5
4x - 8 = 10
4x = 18
x = 4.5
C: has an infinite number of solutions. Anything you plug into x on one side of the equation you will plug in on the other side. Both sides are identical.
D: x = 1
Please lmk if you have any questions.