$$ \begin{aligned} 6(x-4)+2 &= 2x+10&& \text{simplify left side} \\[1 em]6x-24+2 &= 2x+10&& \\[1 em]6x-22 &= 2x+10&& \text{move the $ \color{blue}{ 2x } $ to the left side and $ \color{blue}{ -22 }$ to the right} \\[1 em]6x-2x &= 10+22&& \text{simplify left and right hand side} \\[1 em]4x &= 32&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= \frac{32}{4}&& \\[1 em]x &= 8&& \\[1 em] \end{aligned} $$

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