$$ \begin{aligned} (3x-18)\cdot8 &= 2x\cdot5&& \text{simplify left and right hand side} \\[1 em]24x-144 &= 10x&& \text{move the $ \color{blue}{ 10x } $ to the left side and $ \color{blue}{ -144 }$ to the right} \\[1 em]24x-10x &= 144&& \text{simplify left side} \\[1 em]14x &= 144&& \text{ divide both sides by $ 14 $ } \\[1 em]x &= \frac{144}{14}&& \\[1 em]x &= \frac{72}{7}&& \\[1 em] \end{aligned} $$

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