$$12x-8 = 10x+6$$
Answer
$$ x = 7 $$
Explanation
$$ \begin{aligned} 12x-8 &= 10x+6&& \text{move the $ \color{blue}{ 10x } $ to the left side and $ \color{blue}{ -8 }$ to the right} \\[1 em]12x-10x &= 6+8&& \text{simplify left and right hand side} \\[1 em]2x &= 14&& \text{ divide both sides by $ 2 $ } \\[1 em]x &= \frac{14}{2}&& \\[1 em]x &= 7&& \\[1 em] \end{aligned} $$
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