Question
$$\frac{x}{8}+\frac{11}{8} = -3$$
Answer
$$ x = -35 $$
Explanation
$$ \begin{aligned} \frac{x}{8}+\frac{11}{8} &= -3&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8 \cdot \frac{x}{8}+8\cdot\frac{11}{8} &= 8\cdot(-3)&& \text{cancel out the denominators} \\[1 em]x+11 &= -24&& \text{ move 11 to the right } \\[1 em]x &= -24-11&& \\[1 em]x &= -35&& \\[1 em]x &= -35&& \\[1 em] \end{aligned} $$
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