$$ \begin{aligned} 3(x+5) &= 2x+17&& \text{simplify left side} \\[1 em]3x+15 &= 2x+17&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ 15 }$ to the right} \\[1 em]3x-2x &= 17-15&& \text{simplify left and right hand side} \\[1 em]x &= 2&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$
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