$$ \begin{aligned} 15 &= \frac{3}{5}(8x+20)&& \text{simplify right side} \\[1 em]15 &= \frac{24x+60}{5}&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot15 &= 5 \cdot \frac{24x+60}{5}&& \text{cancel out the denominators} \\[1 em]75 &= 24x+60&& \text{ swap the left and right side of the equation } \\[1 em]24x+60 &= 75&& \text{ move 60 to the right } \\[1 em]24x &= 75-60&& \\[1 em]24x &= 15&& \text{ divide both sides by $ 24 $ } \\[1 em]x &= \frac{15}{24}&& \\[1 em]x &= \frac{5}{8}&& \\[1 em] \end{aligned} $$

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