Question
$$x-6 = 8x+1$$
Answer
$$ x = -1 $$
Explanation
$$ \begin{aligned} x-6 &= 8x+1&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ -6 }$ to the right} \\[1 em]x-8x &= 1+6&& \text{simplify left and right hand side} \\[1 em]-7x &= 7&& \text{ divide both sides by $ -7 $ } \\[1 em]x &= -\frac{7}{7}&& \\[1 em]x &= -1&& \\[1 em] \end{aligned} $$
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