Решите уравнение: 3/4*x-2/3*x+1=1/2*x+1/6.

\[\frac{3}{4}x - \frac{2}{3}x + 1 = \frac{1}{2}x + \frac{1}{6}\ \ | \cdot 12\]

\[3 \cdot 3x - 4 \cdot 2x + 12 = 6x + 2\]

\[9x - 8x - 6x = 2 - 12\]

\[- 5x = - 10\]

\[x = 10\ :5\]

\[x = 2.\]

\[Ответ:x = 2.\]