$$ \begin{aligned} 2 &= -2+\frac{x}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot2 &= -2\cdot2+2 \cdot \frac{x}{2}&& \text{cancel out the denominators} \\[1 em]4 &= -4+x&& \text{ swap the left and right side of the equation } \\[1 em]-4+x &= 4&& \text{ move -4 to the right } \\[1 em]x &= 4+4&& \\[1 em]x &= 8&& \\[1 em]x &= 8&& \\[1 em] \end{aligned} $$

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