$$ \begin{aligned} 5x+2+6x+4 &= 12x-4&& \text{simplify left side} \\[1 em]11x+6 &= 12x-4&& \text{move the $ \color{blue}{ 12x } $ to the left side and $ \color{blue}{ 6 }$ to the right} \\[1 em]11x-12x &= -4-6&& \text{simplify left and right hand side} \\[1 em]-x &= -10&& \text{switch signs on both sides} \\[1 em]x &= 10&& \\[1 em] \end{aligned} $$

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