$$ \begin{aligned} 2 &= 4x-6(x+1)&& \text{simplify right side} \\[1 em]2 &= 4x-(6x+6)&& \\[1 em]2 &= 4x-6x-6&& \\[1 em]2 &= -2x-6&& \text{ swap the left and right side of the equation } \\[1 em]-2x-6 &= 2&& \text{ move -6 to the right } \\[1 em]-2x &= 2+6&& \\[1 em]-2x &= 8&& \text{ divide both sides by $ -2 $ } \\[1 em]x &= -\frac{8}{2}&& \\[1 em]x &= -4&& \\[1 em] \end{aligned} $$

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