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

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