Question
$$12x+3 = 18x-1$$
Answer
$$ x = \dfrac{2}{3} $$
Explanation
$$ \begin{aligned} 12x+3 &= 18x-1&& \text{move the $ \color{blue}{ 18x } $ to the left side and $ \color{blue}{ 3 }$ to the right} \\[1 em]12x-18x &= -1-3&& \text{simplify left and right hand side} \\[1 em]-6x &= -4&& \text{ divide both sides by $ -6 $ } \\[1 em]x &= \frac{-4}{-6}&& \\[1 em]x &= \frac{2}{3}&& \\[1 em] \end{aligned} $$
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