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

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