$$ \begin{aligned} 3(2x-1)+5 &= 4x+14&& \text{simplify left side} \\[1 em]6x-3+5 &= 4x+14&& \\[1 em]6x+2 &= 4x+14&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]6x-4x &= 14-2&& \text{simplify left and right hand side} \\[1 em]2x &= 12&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{12}{2}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$

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