Решите уравнение: 1/2*(5x-6)=1/3*x+4.

\[\frac{1}{2}(5x - 6) = \frac{1}{3}x + 4\]

\[\frac{5}{2}x - 3 = \frac{1}{3}x + 4\]

\[\frac{5^{\backslash 3}}{2}x - \frac{1^{\backslash 2}}{3}x = 4 + 3\]

\[\frac{15 - 2}{6}x = 7\]

\[\frac{13}{6}x = 7\]

\[x = 7\ :\frac{13}{6} = 7 \cdot \frac{6}{13}\]

\[x = \frac{42}{13} = 3\frac{3}{13}.\]