a)|x-1|=4 b)|x+3|=0 c)|x+4|=5-(-1) d)|2×x+3|=5

a)|x-1|=4

⇒\(\left[ \begin{array}{l}x-1=4\\x-1=-4\end{array} \right.\) =>\(\left[ \begin{array}{l}x=5\\x=-3\end{array} \right.\) 

Vậy x=5 hoặc x=-3

b)|x+3|=0

⇒x+3=0

⇒x=-3

c)|x+4|=5-(-1)

⇒|x+4|=6

⇒\(\left[ \begin{array}{l}x+4=6\\x+4=-6\end{array} \right.\) =>\(\left[ \begin{array}{l}x=2\\x=-10\end{array} \right.\) 

Vậy x=2 hoặc x=-10

d)|2x+3|=5

⇒\(\left[ \begin{array}{l}2x+3=5\\2x+3=-5\end{array} \right.\)=> \(\left[ \begin{array}{l}2x=2\\2x=-8\end{array} \right.\) =>\(\left[ \begin{array}{l}x=1\\x=-4\end{array} \right.\) 

Vậy x=1 hoặc x=-4