Answer
$$x\geq3 .$$ See the figure below.
Work Step by Step
By combining the like terms of the inequality $ -2 (2 -x) \geq -(2x -8)$, we have
$$ -4+2x\geq - 2x+8\Longrightarrow 4x\geq 12\Longrightarrow x\geq3 .$$ See the figure below.
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