$$\frac{1}{1}+\frac{x}{3} = \frac{1}{2}$$

$$ \begin{aligned} \frac{1}{1}+\frac{x}{3} &= \frac{1}{2}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot\frac{1}{1}+6\frac{x}{3} &= 6\cdot\frac{1}{2}&& \text{cancel out the denominators} \\[1 em]6+2x &= 3&& \text{ move 6 to the right } \\[1 em]2x &= 3-6&& \\[1 em]2x &= -3&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{3}{2}&& \\[1 em] \end{aligned} $$

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