Question
$$3x+1 = -2x+36$$
Answer
$$ x = 7 $$
Explanation
$$ \begin{aligned} 3x+1 &= -2x+36&& \text{move the $ \color{blue}{ -2x } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]3x+2x &= 36-1&& \text{simplify left and right hand side} \\[1 em]5x &= 35&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{35}{5}&& \\[1 em]x &= 7&& \\[1 em] \end{aligned} $$
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