$$ \begin{aligned} 2+3(4x+2) &= 3x-4&& \text{simplify left side} \\[1 em]2+12x+6 &= 3x-4&& \\[1 em]12x+8 &= 3x-4&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]12x-3x &= -4-8&& \text{simplify left and right hand side} \\[1 em]9x &= -12&& \text{ divide both sides by $ 9 $ } \\[1 em]x &= -\frac{12}{9}&& \\[1 em]x &= -\frac{4}{3}&& \\[1 em] \end{aligned} $$
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