Question
$$-2x+4 = 8x-20$$
Answer
$$ x = \dfrac{12}{5} $$
Explanation
$$ \begin{aligned} -2x+4 &= 8x-20&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 4 }$ to the right} \\[1 em]-2x-8x &= -20-4&& \text{simplify left and right hand side} \\[1 em]-10x &= -24&& \text{ divide both sides by $ -10 $ } \\[1 em]x &= \frac{-24}{-10}&& \\[1 em]x &= \frac{12}{5}&& \\[1 em] \end{aligned} $$
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