$$ \begin{aligned} 2(2x-1) &= 3(x+3)&& \text{simplify left and right hand side} \\[1 em]4x-2 &= 3x+9&& \text{move the $ \color{blue}{ 3x } $ to the left side and $ \color{blue}{ -2 }$ to the right} \\[1 em]4x-3x &= 9+2&& \text{simplify left and right hand side} \\[1 em]x &= 11&& \\[1 em]x &= 11&& \\[1 em] \end{aligned} $$
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