$$ \begin{aligned} 6(2x+1)-4x &= 9x-7&& \text{simplify left side} \\[1 em]12x+6-4x &= 9x-7&& \\[1 em]8x+6 &= 9x-7&& \text{move the $ \color{blue}{ 9x } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]8x-9x &= -7-6&& \text{simplify left and right hand side} \\[1 em]-x &= -13&& \text{switch signs on both sides} \\[1 em]x &= 13&& \\[1 em] \end{aligned} $$

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