$$ \begin{aligned} 4x-12(x-3)\cdot44 &= 0&& \text{simplify left side} \\[1 em]4x-(12x-36)\cdot44 &= 0&& \\[1 em]4x-(528x-1584) &= 0&& \\[1 em]4x-528x+1584 &= 0&& \\[1 em]-524x+1584 &= 0&& \text{ move the constants to the right } \\[1 em]-524x &= -1584&& \text{ divide both sides by $ -524 $ } \\[1 em]x &= \frac{-1584}{-524}&& \\[1 em]x &= \frac{396}{131}&& \\[1 em] \end{aligned} $$

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