$$ \begin{aligned} 3(x+4)+2 &= 3x+4-x&& \text{simplify left and right hand side} \\[1 em]3x+12+2 &= 2x+4&& \\[1 em]3x+14 &= 2x+4&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 14 }$ to the right} \\[1 em]3x-2x &= 4-14&& \text{simplify left and right hand side} \\[1 em]x &= -10&& \\[1 em]x &= -10&& \\[1 em] \end{aligned} $$

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