Question
$$5x+6 = 8x+12$$
Answer
$$ x = -2 $$
Explanation
$$ \begin{aligned} 5x+6 &= 8x+12&& \text{move the $ \color{blue}{ 8x } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]5x-8x &= 12-6&& \text{simplify left and right hand side} \\[1 em]-3x &= 6&& \text{ divide both sides by $ -3 $ } \\[1 em]x &= -\frac{6}{3}&& \\[1 em]x &= -2&& \\[1 em] \end{aligned} $$
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