[tex]\it a)\ |x| = 5 \Rightarrow x =\pm5 \Rightarrow x_1=-5,\ x_2=5 \\ \\ b)\ |x|-3=4|_{+3} \Rightarrow |x| =7 \Rightarrow x= \pm7\\ \\ c)\ |2x|=1 \Rightarrow 2|x| =1|_{:2} \Rightarrow |x| = \dfrac{1}{2} \Rightarrow x=\pm\dfrac{1}{2}\\ \\ d) 6+|x| = 4 \Rightarrow |x| =4-6 \Rightarrow |x|=-2,\ \ ecua\c{\it t}ie\ \ imposibil\breve{a},\ \ x\in \varnothing \\ \\ e) x-|-4| =1 \Rightarrow x-4=1 \Rightarrow x=5[/tex]
