$$ \begin{aligned} 4 &= \frac{5}{2}(3x+8)&& \text{simplify right side} \\[1 em]4 &= \frac{15x+40}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot4 &= 2 \cdot \frac{15x+40}{2}&& \text{cancel out the denominators} \\[1 em]8 &= 15x+40&& \text{ swap the left and right side of the equation } \\[1 em]15x+40 &= 8&& \text{ move 40 to the right } \\[1 em]15x &= 8-40&& \\[1 em]15x &= -32&& \text{ divide both sides by $ 15 $ } \\[1 em]x &= -\frac{32}{15}&& \\[1 em] \end{aligned} $$

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