$$ \begin{aligned} 3+5x &= 3x-9&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]5x-3x &= -9-3&& \text{simplify left and right hand side} \\[1 em]2x &= -12&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= -\frac{12}{2}&& \\[1 em]x &= -6&& \\[1 em] \end{aligned} $$
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