$$ \begin{aligned} \frac{8}{5}(3x+5) &= 7&& \text{simplify left side} \\[1 em]\frac{24x+40}{5} &= 7&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{24x+40}{5} &= 5\cdot7&& \text{cancel out the denominators} \\[1 em]24x+40 &= 35&& \text{ move 40 to the right } \\[1 em]24x &= 35-40&& \\[1 em]24x &= -5&& \text{ divide both sides by $ 24 $ } \\[1 em]x &= -\frac{5}{24}&& \\[1 em] \end{aligned} $$

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