Question 431491
Solution:{{{abs(12-4x)=2}}} We distinct two cases:

1)If, 12-4x>=0 =>-4x >=-12 =>x <=3,we have 12-4x=2 => x=5/2, and

2)If, 12-4x<0 =>-4x<-12 => x>3, we have -(12-4x)=2 => x=7/2.

Answer: The possible values of x are:5/2 and 7/2.

Done.