$$4+\frac{x}{x}+2 = 1$$

$$ \begin{aligned} 4+\frac{x}{x}+2 &= 1&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot4+x \cdot \frac{x}{x}+x\cdot2 &= x\cdot1&& \text{cancel out the denominators} \\[1 em]4x+x+2x &= x&& \text{simplify left side} \\[1 em]7x &= x&& \text{move the $ \color{blue}{ x } $ to the left side} \\[1 em]7x-x &= 0&& \text{simplify left side} \\[1 em]6x &= 0&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= \frac{0}{6}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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