$$ \begin{aligned} 16 &= \frac{6}{5}(2x+15)&& \text{simplify right side} \\[1 em]16 &= \frac{12x+90}{5}&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5\cdot16 &= 5 \cdot \frac{12x+90}{5}&& \text{cancel out the denominators} \\[1 em]80 &= 12x+90&& \text{ swap the left and right side of the equation } \\[1 em]12x+90 &= 80&& \text{ move 90 to the right } \\[1 em]12x &= 80-90&& \\[1 em]12x &= -10&& \text{ divide both sides by $ 12 $ } \\[1 em]x &= -\frac{10}{12}&& \\[1 em]x &= -\frac{5}{6}&& \\[1 em] \end{aligned} $$

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