the solution for 2x+6=32 is x = 13

click here to see the step by step solution of the equation

now lets check if 13 is a solution for the rest of the equations

x+6=16

13 + 6 = 19 <> 13

2(x-3)=16

2(13 - 3) = 20 <>16

x - 3 = 16

13 - 3 = 10 <>16

2(x+3)=21

2(13 + 3) = 32 <> 21

2x=38 ?

2*13 = 25 <> 38

none of the above equations has same solution as 2x+6 = 32.