Question
$$x+7 = 3x+1$$
Answer
$$ x = 3 $$
Explanation
$$ \begin{aligned} x+7 &= 3x+1&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ 7 }$ to the right} \\[1 em]x-3x &= 1-7&& \text{simplify left and right hand side} \\[1 em]-2x &= -6&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-6}{-2}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$
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