Question
$$7(x-\frac{3}{7}) = -24$$
Answer
$$ x = -3 $$
Explanation
$$ \begin{aligned} 7(x-\frac{3}{7}) &= -24&& \text{simplify left side} \\[1 em]7 \cdot \frac{7x-3}{7} &= -24&& \\[1 em]7x-3 &= -24&& \text{ move -3 to the right } \\[1 em]7x &= -24+3&& \\[1 em]7x &= -21&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= -\frac{21}{7}&& \\[1 em]x &= -3&& \\[1 em] \end{aligned} $$
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