$$6-3x = 9x+6$$
Answer
$$ x = 0 $$
Explanation
$$ \begin{aligned} 6-3x &= 9x+6&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]-3x-9x &= 6-6&& \text{simplify left and right hand side} \\[1 em]-12x &= 0&& \text{ divide both sides by $ -12 $ } \\[1 em]x &= \frac{0}{-12}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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