$$ \begin{aligned} 2-\frac{4}{x}-3 &= 0&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot2-x\cdot\frac{4}{x}-x\cdot3 &= x\cdot0&& \text{cancel out the denominators} \\[1 em]2x-4-3x &= 0&& \text{simplify left side} \\[1 em]-x-4 &= 0&& \text{ move the constants to the right } \\[1 em]-x &= 4&& \text{switch signs on both sides} \\[1 em]x &= -4&& \\[1 em] \end{aligned} $$

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