Question
$$34x+18 = 42x$$
Answer
$$ x = \dfrac{9}{4} $$
Explanation
$$ \begin{aligned} 34x+18 &= 42x&& \text{move the $ \color{blue}{ 42x } $ to the left side and $ \color{blue}{ 18 }$ to the right} \\[1 em]34x-42x &= -18&& \text{simplify left side} \\[1 em]-8x &= -18&& \text{ divide both sides by $ -8 $ } \\[1 em]x &= \frac{-18}{-8}&& \\[1 em]x &= \frac{9}{4}&& \\[1 em] \end{aligned} $$
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