$$4 = \frac{3}{2}(5x+4)$$

$$ \begin{aligned} 4 &= \frac{3}{2}(5x+4)&& \text{simplify right side} \\[1 em]4 &= \frac{15x+12}{2}&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot4 &= 2 \cdot \frac{15x+12}{2}&& \text{cancel out the denominators} \\[1 em]8 &= 15x+12&& \text{ swap the left and right side of the equation } \\[1 em]15x+12 &= 8&& \text{ move 12 to the right } \\[1 em]15x &= 8-12&& \\[1 em]15x &= -4&& \text{ divide both sides by $ 15 $ } \\[1 em]x &= -\frac{4}{15}&& \\[1 em] \end{aligned} $$

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