Question
$$2x-3 = 12x-57$$
Answer
$$ x = \dfrac{27}{5} $$
Explanation
$$ \begin{aligned} 2x-3 &= 12x-57&& \text{move the $ \color{blue}{ 12x } $ to the left side and $ \color{blue}{ -3 }$ to the right} \\[1 em]2x-12x &= -57+3&& \text{simplify left and right hand side} \\[1 em]-10x &= -54&& \text{ divide both sides by $ -10 $ } \\[1 em]x &= \frac{-54}{-10}&& \\[1 em]x &= \frac{27}{5}&& \\[1 em] \end{aligned} $$
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