\(\dfrac{2}{3}+\left(-\dfrac{1}{4}+\dfrac{2}{7}\right)< x< \dfrac{7}{3}-\left(\dfrac{1}{5}-\dfrac{3}{4}\right)\)
=>\(\dfrac{2}{3}-\dfrac{1}{4}+\dfrac{2}{7}< x< \dfrac{7}{3}-\dfrac{1}{5}+\dfrac{3}{4}\)
=>\(\dfrac{56-21+24}{84}< x< \dfrac{140-12+45}{60}\)
=>\(\dfrac{59}{84}< x< \dfrac{173}{60}\)
mà x nguyên
nên \(x\in\left\{1;2\right\}\)