$$ \begin{aligned} 3 \cdot \frac{x+7}{4}+18 &= 24&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot3 \cdot \frac{x+7}{4}+4\cdot18 &= 4\cdot24&& \text{cancel out the denominators} \\[1 em]3x+21+72 &= 96&& \text{simplify left side} \\[1 em]3x+93 &= 96&& \text{ move 93 to the right } \\[1 em]3x &= 96-93&& \\[1 em]3x &= 3&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{3}{3}&& \\[1 em]x &= 1&& \\[1 em] \end{aligned} $$

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