$$ \begin{aligned} 2(3x-4)+5 &= 3(x+2)+1&& \text{simplify left and right hand side} \\[1 em]6x-8+5 &= 3x+6+1&& \\[1 em]6x-3 &= 3x+7&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]6x-3x &= 7+3&& \text{simplify left and right hand side} \\[1 em]3x &= 10&& \text{ divide both sides by $ 3 $ } \\[1 em]x &= \frac{10}{3}&& \\[1 em] \end{aligned} $$

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