$$ \begin{aligned} 5x+\frac{2}{8} &= \frac{x}{2}&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8\cdot5x+8\cdot\frac{2}{8} &= 8 \cdot \frac{x}{2}&& \text{cancel out the denominators} \\[1 em]40x+2 &= 4x&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]40x-4x &= -2&& \text{simplify left side} \\[1 em]36x &= -2&& \text{ divide both sides by $ 36 $ } \\[1 em]x &= -\frac{2}{36}&& \\[1 em]x &= -\frac{1}{18}&& \\[1 em] \end{aligned} $$

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