$$ \begin{aligned} 13 &= \frac{3}{4}(5x+8)&& \text{simplify right side} \\[1 em]13 &= \frac{15x+24}{4}&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot13 &= 4 \cdot \frac{15x+24}{4}&& \text{cancel out the denominators} \\[1 em]52 &= 15x+24&& \text{ swap the left and right side of the equation } \\[1 em]15x+24 &= 52&& \text{ move 24 to the right } \\[1 em]15x &= 52-24&& \\[1 em]15x &= 28&& \text{ divide both sides by $ 15 $ } \\[1 em]x &= \frac{28}{15}&& \\[1 em] \end{aligned} $$

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