Question
$$-\frac{6}{7}x = 2$$
Answer
$$ x = -\dfrac{7}{3} $$
Explanation
$$ \begin{aligned} -\frac{6}{7}x &= 2&& \text{multiply ALL terms by } \color{blue}{ 7 }. \\[1 em]-7 \cdot \frac{6}{7}x &= 7\cdot2&& \text{cancel out the denominators} \\[1 em]-6x &= 14&& \text{ divide both sides by $ -6 $ } \\[1 em]x &= -\frac{14}{6}&& \\[1 em]x &= -\frac{7}{3}&& \\[1 em] \end{aligned} $$
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