\(\dfrac{7x-26}{x-1}=\dfrac{2}{3}đkxđ\left(x\ne1\right)\\ \Leftrightarrow\dfrac{3\left(7x-26\right)}{3\left(x-1\right)}=\dfrac{2\left(x-1\right)}{3\left(x-1\right)}\\ \Rightarrow3\left(7x-26\right)=2\left(x-1\right)\\ \Leftrightarrow21x-78=2x-2\\ \Leftrightarrow21x-2x=-2+78\\ \Leftrightarrow19x=76\\ \Leftrightarrow x=4\)
Vậy pt có nghiệm `x=4`