Question
$$3x+2 = 7x$$
Answer
$$ x = \dfrac{1}{2} $$
Explanation
$$ \begin{aligned} 3x+2 &= 7x&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]3x-7x &= -2&& \text{simplify left side} \\[1 em]-4x &= -2&& \text{ divide both sides by $ -4 $ } \\[1 em]x &= \frac{-2}{-4}&& \\[1 em]x &= \frac{1}{2}&& \\[1 em] \end{aligned} $$
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