Question

Did i do something wrong??

–2(x – 3) ≥ 5 – (x + 3)
–2(x – 3) ≥ 5 – (x + 3)
–2x + 6 ≥ 5 – x + 3
6 - 5 - 3 ≥ –x + 2x
-2 ≥ x
x ≤ -2
x is less than or equal to -2. The graph would have an closed circle on -2 with shading to the left.

Answer 1

–2(x – 3) ≥ 5 – (x + 3)

just notice, when you distribute the - on the right you should get
–2(x – 3) ≥ 5 – x - 3

Answer 2

that changes your answer

Answer 3

to finish, you get
-2x + 6 ≥ 5 -x -3
-2x + 6 ≥ -x +2
6 - 2 ≥ 2x - x
4 ≥ x

Answer 4

I understand it now thank you:) @phi