$$ \begin{aligned} -6x+70 &= x&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ 70 }$ to the right} \\[1 em]-6x-x &= -70&& \text{simplify left side} \\[1 em]-7x &= -70&& \text{ divide both sides by $ -7 $ } \\[1 em]x &= \frac{-70}{-7}&& \\[1 em]x &= 10&& \\[1 em] \end{aligned} $$
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