$$ \begin{aligned} 14(3x+2)-5(6x-1) &= 2(x-8)-6(7x-4)&& \text{simplify left and right hand side} \\[1 em]42x+28-(30x-5) &= 2x-16-(42x-24)&& \\[1 em]42x+28-30x+5 &= 2x-16-42x+24&& \\[1 em]12x+33 &= -40x+8&& \text{move the $ \color{blue}{ -40x } $ to the left side and $ \color{blue}{ 33 }$ to the right} \\[1 em]12x+40x &= 8-33&& \text{simplify left and right hand side} \\[1 em]52x &= -25&& \text{ divide both sides by $ 52 $ } \\[1 em]x &= -\frac{25}{52}&& \\[1 em] \end{aligned} $$

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