$$ \begin{aligned} 8 &= 13+\frac{x}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot8 &= 2\cdot13+2 \cdot \frac{x}{2}&& \text{cancel out the denominators} \\[1 em]16 &= 26+x&& \text{ swap the left and right side of the equation } \\[1 em]26+x &= 16&& \text{ move 26 to the right } \\[1 em]x &= 16-26&& \\[1 em]x &= -10&& \\[1 em]x &= -10&& \\[1 em] \end{aligned} $$

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