$$ \begin{aligned} -12+8(x-5) &= -4+3(5x-2)&& \text{simplify left and right hand side} \\[1 em]-12+8x-40 &= -4+15x-6&& \\[1 em]8x-52 &= 15x-10&& \text{move the $ \color{blue}{ 15x } $ to the left side and $ \color{blue}{ -52 }$ to the right} \\[1 em]8x-15x &= -10+52&& \text{simplify left and right hand side} \\[1 em]-7x &= 42&& \text{ divide both sides by $ -7 $ } \\[1 em]x &= -\frac{42}{7}&& \\[1 em]x &= -6&& \\[1 em] \end{aligned} $$

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