$$ \begin{aligned} 6(x+3)-4 &= 5x+8&& \text{simplify left side} \\[1 em]6x+18-4 &= 5x+8&& \\[1 em]6x+14 &= 5x+8&& \text{move the $ \color{blue}{ 5x } $ to the left side and $ \color{blue}{ 14 }$ to the right} \\[1 em]6x-5x &= 8-14&& \text{simplify left and right hand side} \\[1 em]x &= -6&& \\[1 em]x &= -6&& \\[1 em] \end{aligned} $$
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