$$ \begin{aligned} \frac{14}{x} &= -2&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x\cdot\frac{14}{x} &= x\cdot(-2)&& \text{cancel out the denominators} \\[1 em]14 &= -2x&& \text{ swap the left and right side of the equation } \\[1 em]-2x &= 14&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{14}{2}&& \\[1 em]x &= -7&& \\[1 em] \end{aligned} $$

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