$$ \begin{aligned} -5x+40 &= 6x-70&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ 40 }$ to the right} \\[1 em]-5x-6x &= -70-40&& \text{simplify left and right hand side} \\[1 em]-11x &= -110&& \text{ divide both sides by $ -11 $ } \\[1 em]x &= \frac{-110}{-11}&& \\[1 em]x &= 10&& \\[1 em] \end{aligned} $$
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