$$ \begin{aligned} -4(-5x+6) &= -3(-4x+5)&& \text{simplify left and right hand side} \\[1 em]-(-20x+24) &= -(-12x+15)&& \\[1 em]20x-24 &= 12x-15&& \text{move the $ \color{blue}{ 12x } $ to the left side and $ \color{blue}{ -24 }$ to the right} \\[1 em]20x-12x &= -15+24&& \text{simplify left and right hand side} \\[1 em]8x &= 9&& \text{ divide both sides by $ 8 $ } \\[1 em]x &= \frac{9}{8}&& \\[1 em] \end{aligned} $$

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