$$ \begin{aligned} 3(2x-5)+4 &= 2(x+7)&& \text{simplify left and right hand side} \\[1 em]6x-15+4 &= 2x+14&& \\[1 em]6x-11 &= 2x+14&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -11 }$ to the right} \\[1 em]6x-2x &= 14+11&& \text{simplify left and right hand side} \\[1 em]4x &= 25&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{25}{4}&& \\[1 em] \end{aligned} $$
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