Given that \( f(x)=-2 x, g(x)=x-5 \) and \( h(x)=3 f(x-2)+g(x) \), then what is the value of \( h(2) \) ?

Step 1 ：\( h(x) = 3 f(x-2) + g(x) \)

Step 2 ：\( h(2) = 3 f(0) + g(2) \)

Step 3 ：\( h(2) = -3 \)