$$x+\frac{2}{2}-1 = 0$$

$$ \begin{aligned} x+\frac{2}{2}-1 &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2x+2\cdot\frac{2}{2}-2\cdot1 &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]2x+2-2 &= 0&& \text{simplify left side} \\[1 em]2x+2-2 &= 0&& \\[1 em]2x &= 0&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{0}{2}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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