#### Answer

The solutions are $x=\dfrac{1}{2}$ and $x=\dfrac{3}{2}$

#### Work Step by Step

$|4-4x|+2=4$
Take $2$ to the right side of the equation:
$|4-4x|=4-2$
$|4-4x|=2$
Solving this absolute value equation is equivalent to solving two separate equations, which are:
$4-4x=2$ and $4-4x=-2$
$\textbf{Solve the first equation:}$
$4-4x=2$
Take $4$ to the right side:
$-4x=2-4$
$-4x=-2$
Solve for $x$:
$x=\dfrac{-2}{-4}$
$x=\dfrac{1}{2}$
$\textbf{Solve the second equation:}$
$4-4x=-2$
Take $4$ to the right side:
$-4x=-2-4$
$-4x=-6$
Solve for $x$:
$x=\dfrac{-6}{-4}$
$x=\dfrac{3}{2}$
The solutions are $x=\dfrac{1}{2}$ and $x=\dfrac{3}{2}$