Решите уравнение: 1/2*x+1/3*x+1/4*x=26/27.

\[\frac{1^{\backslash 6}}{2}x + \frac{1^{\backslash 4}}{3}x + \frac{1^{\backslash 3}}{4}x = \frac{26}{27}\]

\[\frac{6 + 4 + 3}{12}x = \frac{26}{27}\]

\[\frac{13}{12}x = \frac{26}{27}\]

\[x = \frac{26}{27}\ :\frac{13}{12}\]

\[x = \frac{26}{27} \cdot \frac{12}{13}\]

\[x = \frac{8}{9}.\]