Question

Which numbers are solutions of the equation?

|5 – 4x| – 3 = 4

Answer 1

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