|2x +4| = 8 Technique is to always square both sides and solve the quadratic
(2x+4)^2 = 64
4x^2 +16x +16 = 64 divide through by 4
x^2 +4x +4 =16
x^2 +4x - 12= 0
(x+6)(x-2) = 0 so x = -6 and x = 2
2|x| +4 =8 rearrange to get the modulus expression on its own,and,again,square both sides
2|x| = 4 so |x| =2 so x^2 =4 so x= plus or minus 2
Exactly the same method for the last one.Have a try yourself.