$$ \begin{aligned} 12(10x+8) &= 5(3x+8)&& \text{simplify left and right hand side} \\[1 em]120x+96 &= 15x+40&& \text{move the $ \color{blue}{ 15x } $ to the left side and $ \color{blue}{ 96 }$ to the right} \\[1 em]120x-15x &= 40-96&& \text{simplify left and right hand side} \\[1 em]105x &= -56&& \text{ divide both sides by $ 105 $ } \\[1 em]x &= -\frac{56}{105}&& \\[1 em]x &= -\frac{8}{15}&& \\[1 em] \end{aligned} $$

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