$$ \begin{aligned} -3(5x-6) &= 8(7x-8)&& \text{simplify left and right hand side} \\[1 em]-(15x-18) &= 56x-64&& \\[1 em]-15x+18 &= 56x-64&& \text{move the $ \color{blue}{ 56x } $ to the left side and $ \color{blue}{ 18 }$ to the right} \\[1 em]-15x-56x &= -64-18&& \text{simplify left and right hand side} \\[1 em]-71x &= -82&& \text{ divide both sides by $ -71 $ } \\[1 em]x &= \frac{-82}{-71}&& \\[1 em]x &= \frac{82}{71}&& \\[1 em] \end{aligned} $$

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