Question
$$-x+5 = -6x-50$$
Answer
$$ x = -11 $$
Explanation
$$ \begin{aligned} -x+5 &= -6x-50&& \text{move the $ \color{blue}{ -6x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]-x+6x &= -50-5&& \text{simplify left and right hand side} \\[1 em]5x &= -55&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= -\frac{55}{5}&& \\[1 em]x &= -11&& \\[1 em] \end{aligned} $$
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