Question
$$84x-69 = x-14$$
Answer
$$ x = \dfrac{55}{83} $$
Explanation
$$ \begin{aligned} 84x-69 &= x-14&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ -69 }$ to the right} \\[1 em]84x-x &= -14+69&& \text{simplify left and right hand side} \\[1 em]83x &= 55&& \text{ divide both sides by $ 83 $ } \\[1 em]x &= \frac{55}{83}&& \\[1 em] \end{aligned} $$
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