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