Answer :
[tex]4|4x-3|-8=-4\\\\
4(4x-3)-8=-4\ \ \ \ or\ \ \ \ 4(-4x+3)-8=-4\\\\
16x-12-8=-4\ \ \ or\ \ \ \ -16x+12-8=-4\\\\
16x-20=-4\ \ \ \ or\ \ \ \ -16x+4=-4\\\\
16x=16\ \ \ \ \ or\ \ \ \ -16x=-8\\\\
x=1\ \ \ \ or\ \ \ \ x=\frac{1}{2}[/tex]
[tex] 4|4x-3|-8=-4\\
4|4x-3|=4\\
|4x-3|=1\\
4x-3=1 \vee 4x-3=-1\\
4x=4 \vee 4x=2\\
x=1 \vee x=\dfrac{1}{2}
[/tex]
