$$ \begin{aligned} 7 &= \frac{1}{2}(x-8)&& \text{simplify right side} \\[1 em]7 &= \frac{x-8}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot7 &= 2 \cdot \frac{x-8}{2}&& \text{cancel out the denominators} \\[1 em]14 &= x-8&& \text{ swap the left and right side of the equation } \\[1 em]x-8 &= 14&& \text{ move -8 to the right } \\[1 em]x &= 14+8&& \\[1 em]x &= 22&& \\[1 em]x &= 22&& \\[1 em] \end{aligned} $$

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