Question
$$3x+8 = 5x+22$$
Answer
$$ x = -7 $$
Explanation
$$ \begin{aligned} 3x+8 &= 5x+22&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ 8 }$ to the right} \\[1 em]3x-5x &= 22-8&& \text{simplify left and right hand side} \\[1 em]-2x &= 14&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{14}{2}&& \\[1 em]x &= -7&& \\[1 em] \end{aligned} $$
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