Question
$$\frac{4}{5}x = -\frac{4}{3}$$
Answer
$$ x = -\dfrac{5}{3} $$
Explanation
$$ \begin{aligned} \frac{4}{5}x &= -\frac{4}{3}&& \text{multiply ALL terms by } \color{blue}{ 15 }. \\[1 em]15 \cdot \frac{4}{5}x &= -15\cdot\frac{4}{3}&& \text{cancel out the denominators} \\[1 em]12x &= -20&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= -\frac{20}{12}&& \\[1 em]x &= -\frac{5}{3}&& \\[1 em] \end{aligned} $$
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