$$ \begin{aligned} 3(x-2)+5 &= 2(x+4)+7&& \text{simplify left and right hand side} \\[1 em]3x-6+5 &= 2x+8+7&& \\[1 em]3x-1 &= 2x+15&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -1 }$ to the right} \\[1 em]3x-2x &= 15+1&& \text{simplify left and right hand side} \\[1 em]x &= 16&& \\[1 em]x &= 16&& \\[1 em] \end{aligned} $$

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