$$2(x+3) = 4x-6$$

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

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