$$ \begin{aligned} -(x+\frac{3}{10}) &= 8&& \text{simplify left side} \\[1 em]-\frac{10x+3}{10} &= 8&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]-10 \cdot \frac{10x+3}{10} &= 10\cdot8&& \text{cancel out the denominators} \\[1 em]-(10x+3) &= 80&& \text{simplify left side} \\[1 em]-10x-3 &= 80&& \text{ move -3 to the right } \\[1 em]-10x &= 80+3&& \\[1 em]-10x &= 83&& \text{ divide both sides by $ -10 $ } \\[1 em]x &= -\frac{83}{10}&& \\[1 em] \end{aligned} $$

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