Verified Answer :

\(|5-4x|-3=4\ \ \ /+3\\\\|5-4x|=7\iff5-4x=7\ \vee\ 5-4x=-7\\\\-4x=7-5\ \vee\ -4x=-7-5\\\\-4x=2\ /:(-4)\ \vee\ -4x=-12\ /:(-4)\\\\x=-\frac{2}{4}\ \vee\ x=\frac{-12}{-4}\\\\x=\frac{1}{2}\ \vee\ x=3\)

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