\(\frac{\left|x-5\right|}{3}-\frac{1}{2}=\frac{1}{3}\)
\(\frac{\left|x-5\right|}{3}=\frac{1}{3}+\frac{1}{2}\)
\(\frac{\left|x-5\right|}{3}=\frac{5}{6}\)
\(\left|x-5\right|=5:\left(6:3\right)\)
\(\left|x-5\right|=2,5\)
\(x=2,5+5\)
\(x=7,5\)
\(\frac{\left|x-5\right|}{3}-\frac{1}{2}=\frac{1}{3}.\)
\(=>\frac{\left|x-5\right|}{3}=\frac{5}{6}\)
\(=>\left|x-5\right|=\frac{15}{6}\)
\(=>\left|x-5\right|=\frac{5}{2}\)
\(\left(+\right)x-5=\frac{5}{2}=>x=\frac{5}{2}+5=\frac{15}{2}\)
\(\left(+\right)x-5=-\frac{5}{2}=>x=5-\frac{5}{2}=\frac{5}{2}\)
Vậy \(x=\frac{5}{2};x=\frac{15}{2}\)
Kết quả minh xem xét thì đúng là x= 5/2 và -15/2