$$ \begin{aligned} 3x-4(2x+1) &= 5+2(3x-1)&& \text{simplify left and right hand side} \\[1 em]3x-(8x+4) &= 5+6x-2&& \\[1 em]3x-8x-4 &= 6x+3&& \\[1 em]-5x-4 &= 6x+3&& \text{move the $ \color{blue}{ 6x } $ to the left side and $ \color{blue}{ -4 }$ to the right} \\[1 em]-5x-6x &= 3+4&& \text{simplify left and right hand side} \\[1 em]-11x &= 7&& \text{ divide both sides by $ -11 $ } \\[1 em]x &= -\frac{7}{11}&& \\[1 em] \end{aligned} $$

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