$$x+\frac{3}{10} = -\frac{3}{5}$$

$$ \begin{aligned} x+\frac{3}{10} &= -\frac{3}{5}&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10x+10\cdot\frac{3}{10} &= -10\cdot\frac{3}{5}&& \text{cancel out the denominators} \\[1 em]10x+3 &= -6&& \text{ move 3 to the right } \\[1 em]10x &= -6-3&& \\[1 em]10x &= -9&& \text{ divide both sides by $ 10 $ } \\[1 em]x &= -\frac{9}{10}&& \\[1 em] \end{aligned} $$

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