$$ \begin{aligned} 3x+5 &= 5(x-3)&& \text{simplify right side} \\[1 em]3x+5 &= 5x-15&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]3x-5x &= -15-5&& \text{simplify left and right hand side} \\[1 em]-2x &= -20&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-20}{-2}&& \\[1 em]x &= 10&& \\[1 em] \end{aligned} $$

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