Question
$$3x+10 = x+22$$
Answer
$$ x = 6 $$
Explanation
$$ \begin{aligned} 3x+10 &= x+22&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ 10 }$ to the right} \\[1 em]3x-x &= 22-10&& \text{simplify left and right hand side} \\[1 em]2x &= 12&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{12}{2}&& \\[1 em]x &= 6&& \\[1 em] \end{aligned} $$
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