Question
$$2a+3 = 6a+1$$
Answer
$$ a = \dfrac{1}{2} $$
Explanation
$$ \begin{aligned} 2a+3 &= 6a+1&& \text{move the $ \color{blue}{ 6a } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]2a-6a &= 1-3&& \text{simplify left and right hand side} \\[1 em]-4a &= -2&& \text{ divide both sides by $ -4 $ } \\[1 em]a &= \frac{-2}{-4}&& \\[1 em]a &= \frac{1}{2}&& \\[1 em] \end{aligned} $$
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