Решите уравнение: 1-1,5x+3 2/5*x=1 1/3*x-2 7/15*x+2 1/2.

\[1 - 1,5x + 3\frac{2}{5}x = 1\frac{1}{3}x - 2\frac{7}{15}x + 2\frac{1}{2}\]

\[- \frac{3^{\backslash 15}}{2}x + \frac{17^{\backslash 6}}{5}x - \frac{4^{\backslash 10}}{3}x + \frac{37^{\backslash 2}}{15}x = 2\frac{1}{2} - 1\]

\[\frac{- 45 + 102 - 40 + 74}{30}x = 1\frac{1}{2}\]

\[\frac{91}{30}x = \frac{3}{2}\]

\[x = \frac{91}{30}\ :\frac{3}{2} = \frac{91}{30} \cdot \frac{2}{3}\]

\[x = \frac{182}{90} = 2\frac{2}{90} = 2\frac{1}{45}.\]