Let's try to solve the equation
2x + 11 = 2 - x
now move 11 to the right and change sign and move -x to the left and change sign
2x +x = 2 - 11
Compute
3x = -9
divide by 3 to remove fraction
3x/3 = -9/3
x = -3
As you can see, none of your listed values satisfy the equation.
Let's check is -3 is x
2(-3) + 11 = 2 - (-3)
Compute
-6 + 11 = 5 (positive times negative will be negative; while if same sign will be positive)
5 = 5 Correct (Subtract unlike sign and take the sign of the highest number)
i hope it helps