Question
$$-2(-2x+4) = 2(2x-4)$$
Answer
The equation has an infinite number of solutions.
Explanation
$$ \begin{aligned} -2(-2x+4) &= 2(2x-4)&& \text{simplify left and right hand side} \\[1 em]-(-4x+8) &= 4x-8&& \\[1 em]4x-8 &= 4x-8&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ -8 }$ to the right} \\[1 em]4x-4x &= -8+8&& \text{simplify left and right hand side} \\[1 em]4x-4x &= 0&& \\[1 em]0 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{blue}{ 0 = 0 } $ is TRUE for any value of $ x $, we conclude that the equation has infinitely many solutions.
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