$$ \begin{aligned} 47-(4-2x-4(x+7)) &= 0&& \text{simplify left side} \\[1 em]47-(4-2x-(4x+28)) &= 0&& \\[1 em]47-(4-2x-4x-28) &= 0&& \\[1 em]47-(-6x-24) &= 0&& \\[1 em]47+6x+24 &= 0&& \\[1 em]6x+71 &= 0&& \text{ move the constants to the right } \\[1 em]6x &= -71&& \text{ divide both sides by $ 6 $ } \\[1 em]x &= -\frac{71}{6}&& \\[1 em] \end{aligned} $$

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