Question
$$3x+5 = 4x+1$$
Answer
$$ x = 4 $$
Explanation
$$ \begin{aligned} 3x+5 &= 4x+1&& \text{move the $ \color{blue}{ 4x } $ to the left side and $ \color{blue}{ 5 }$ to the right} \\[1 em]3x-4x &= 1-5&& \text{simplify left and right hand side} \\[1 em]-x &= -4&& \text{switch signs on both sides} \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$
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