$$ \begin{aligned} 6x-2(x+3) &= 12&& \text{simplify left side} \\[1 em]6x-(2x+6) &= 12&& \\[1 em]6x-2x-6 &= 12&& \\[1 em]4x-6 &= 12&& \text{ move -6 to the right } \\[1 em]4x &= 12+6&& \\[1 em]4x &= 18&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{18}{4}&& \\[1 em]x &= \frac{9}{2}&& \\[1 em] \end{aligned} $$
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