$$\frac{1}{x}-1-5 = 0$$

$$ \begin{aligned} \frac{1}{x}-1-5 &= 0&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot\frac{1}{x}-x\cdot1-x\cdot5 &= x\cdot0&& \text{cancel out the denominators} \\[1 em]1-x-5x &= 0&& \text{simplify left side} \\[1 em]-6x+1 &= 0&& \text{ move the constants to the right } \\[1 em]-6x &= -1&& \text{ divide both sides by $ -6 $ } \\[1 em]x &= \frac{-1}{-6}&& \\[1 em]x &= \frac{1}{6}&& \\[1 em] \end{aligned} $$

This page was created using