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