$$ \begin{aligned} 3x-10 &= 5(x-4)&& \text{simplify right side} \\[1 em]3x-10 &= 5x-20&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ -10 }$ to the right} \\[1 em]3x-5x &= -20+10&& \text{simplify left and right hand side} \\[1 em]-2x &= -10&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-10}{-2}&& \\[1 em]x &= 5&& \\[1 em] \end{aligned} $$

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