$$ \begin{aligned} 3(x-1)-6 &= 7(5x+2)+4&& \text{simplify left and right hand side} \\[1 em]3x-3-6 &= 35x+14+4&& \\[1 em]3x-9 &= 35x+18&& \text{move the $ \color{blue}{ 35x } $ to the left side and $ \color{blue}{ -9 }$ to the right} \\[1 em]3x-35x &= 18+9&& \text{simplify left and right hand side} \\[1 em]-32x &= 27&& \text{ divide both sides by $ -32 $ } \\[1 em]x &= -\frac{27}{32}&& \\[1 em] \end{aligned} $$

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