Question
$$x+3 = -6+4x$$
Answer
$$ x = 3 $$
Explanation
$$ \begin{aligned} x+3 &= -6+4x&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]x-4x &= -6-3&& \text{simplify left and right hand side} \\[1 em]-3x &= -9&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= \frac{-9}{-3}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$
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