$\begin{array}{l}\underline{\text{Đáp án:}}\\\underline{\text{Giải thích các bước giải:}}\\f,|x-1/3|+1=7/3\\→|x-1/3|=7/3-1\\→|x-1/3|=4/3\\→\left[ \begin{array}{l}x-1/3=4/3\\x-1/3=-4/3\end{array} \right.→\left[ \begin{array}{l}x=5/3\\x=-1\end{array} \right.\\Vậy \,\, x=-1 \,\, hoặc \,\, x=5/3\\g,(3x-1)^2-2=7\\→(3x-1)^2=9\\→\left[ \begin{array}{l}3x-1=3\\3x-1=-3\end{array} \right.\\→\left[ \begin{array}{l}3x=4\\3x=-2\end{array} \right.\\→\left[ \begin{array}{l}x=4/3\\x=-2/3\end{array} \right.\\Vậy \,\, x=4/3 \,\, hoặc \,\, x=-2/3\\h,(5x-2)^3+1=28\\→(5x-2)^3=27\\→(5x-2)^3=3^3\\→5x-2=3\\→5x=5\\→x=1\\Vậy \,\, x=1\\i,(x-2/3)^2+1/6=5/18\\→(x-2/3)^2=5/18-1/6\\→(x-2/3)^2=2/18\\→(x-2/3)^2=1/9\\→\left[ \begin{array}{l}x-2/3=1/3\\x-2/3=-1/3\end{array} \right.\\→\left[ \begin{array}{l}x=1\\x=1/3\end{array} \right.\\Vậy \,\, x=1 \,\, hoặc \,\, x=1/3\\\underline{\text{CHÚC BẠN HỌC TỐT}}\\\end{array}$