Question
$$5x+2 = 7x-6$$
Answer
$$ x = 4 $$
Explanation
$$ \begin{aligned} 5x+2 &= 7x-6&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 2 }$ to the right} \\[1 em]5x-7x &= -6-2&& \text{simplify left and right hand side} \\[1 em]-2x &= -8&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-8}{-2}&& \\[1 em]x &= 4&& \\[1 em] \end{aligned} $$
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