$$2 = \frac{1+x}{2}$$

$$ \begin{aligned} 2 &= \frac{1+x}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot2 &= 2 \cdot \frac{1+x}{2}&& \text{cancel out the denominators} \\[1 em]4 &= 1+x&& \text{ swap the left and right side of the equation } \\[1 em]1+x &= 4&& \text{ move 1 to the right } \\[1 em]x &= 4-1&& \\[1 em]x &= 3&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$

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