$$ \begin{aligned} 5 &= \frac{1}{2}(x+8)&& \text{simplify right side} \\[1 em]5 &= \frac{x+8}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot5 &= 2 \cdot \frac{x+8}{2}&& \text{cancel out the denominators} \\[1 em]10 &= x+8&& \text{ swap the left and right side of the equation } \\[1 em]x+8 &= 10&& \text{ move 8 to the right } \\[1 em]x &= 10-8&& \\[1 em]x &= 2&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$

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