a) |x-1|=4
=> \(\left[ \begin{array}{l}x-1=4\\x-1=-4\end{array} \right.\)
=> \(\left[ \begin{array}{l}x=5\\x=-3\end{array} \right.\)
b) |x+3|=0
=> x+3=0
=> x=-3
c. |x+4|=5-(-1)
=> |x+4|=6
=> \(\left[ \begin{array}{l}x+4=6\\x+4=-6\end{array} \right.\)
=> \(\left[ \begin{array}{l}x=2\\x=-10\end{array} \right.\)
d) |2×x+3|=5
=> \(\left[ \begin{array}{l}2x+3=5\\2x+3=-5\end{array} \right.\)
=> \(\left[ \begin{array}{l}x=1\\x=-4\end{array} \right.\)