$$ \begin{aligned} 7x-6 &= x+6&& \text{move the $ \color{blue}{ x } $ to the left side and $ \color{blue}{ -6 }$ to the right} \\[1 em]7x-x &= 6+6&& \text{simplify left and right hand side} \\[1 em]6x &= 12&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= \frac{12}{6}&& \\[1 em]x &= 2&& \\[1 em] \end{aligned} $$
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