Question
$$34-2x = 7x$$
Answer
$$ x = \dfrac{34}{9} $$
Explanation
$$ \begin{aligned} 34-2x &= 7x&& \text{move the $ \color{blue}{ 7x } $ to the left side and $ \color{blue}{ 34 }$ to the right} \\[1 em]-2x-7x &= -34&& \text{simplify left side} \\[1 em]-9x &= -34&& \text{ divide both sides by $ -9 $ } \\[1 em]x &= \frac{-34}{-9}&& \\[1 em]x &= \frac{34}{9}&& \\[1 em] \end{aligned} $$
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