$$ \begin{aligned} \frac{5}{x^2}-\frac{43}{x} &= 18&& \text{multiply ALL terms by } \color{blue}{ x^2x }. \\[1 em]x^2x\cdot\frac{5}{x^2}-x^2x\cdot\frac{43}{x} &= x^2x\cdot18&& \text{cancel out the denominators} \\[1 em]\frac{5}{x^1}-43 &= 18x^3&& \text{multiply ALL terms by } \color{blue}{ x^1 }. \\[1 em]x^1\cdot\frac{5}{x^1}-x^1\cdot43 &= x^1\cdot18x^3&& \text{cancel out the denominators} \\[1 em]5-43x &= 18x^4&& \text{move all terms to the left hand side } \\[1 em]5-43x-18x^4 &= 0&& \text{simplify left side} \\[1 em]-18x^4-43x+5 &= 0&& \\[1 em] \end{aligned} $$

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