$$ \begin{aligned} 2(x+4) &= 3(x-3)&& \text{simplify left and right hand side} \\[1 em]2x+8 &= 3x-9&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]2x-3x &= -9-8&& \text{simplify left and right hand side} \\[1 em]-x &= -17&& \text{switch signs on both sides} \\[1 em]x &= 17&& \\[1 em] \end{aligned} $$

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