$$ \begin{aligned} \frac{2}{5}x+12 &= 8&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{2}{5}x+5\cdot12 &= 5\cdot8&& \text{cancel out the denominators} \\[1 em]2x+60 &= 40&& \text{ move 60 to the right } \\[1 em]2x &= 40-60&& \\[1 em]2x &= -20&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{20}{2}&& \\[1 em]x &= -10&& \\[1 em] \end{aligned} $$

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