Question
$$10x+1 = 12x-5$$
Answer
$$ x = 3 $$
Explanation
$$ \begin{aligned} 10x+1 &= 12x-5&& \text{move the $ \color{blue}{ 12x } $ to the left side and $ \color{blue}{ 1 }$ to the right} \\[1 em]10x-12x &= -5-1&& \text{simplify left and right hand side} \\[1 em]-2x &= -6&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= \frac{-6}{-2}&& \\[1 em]x &= 3&& \\[1 em] \end{aligned} $$
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