$$ \begin{aligned} -x+\frac{6}{2} &= -4&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]-2x+2\cdot\frac{6}{2} &= 2\cdot(-4)&& \text{cancel out the denominators} \\[1 em]-2x+6 &= -8&& \text{ move 6 to the right } \\[1 em]-2x &= -8-6&& \\[1 em]-2x &= -14&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-14}{-2}&& \\[1 em]x &= 7&& \\[1 em] \end{aligned} $$

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