Реши первое уравнение: 5/6 * x + 8 = 1/4 * x - 6

1. Решаем уравнение: $\frac{5}{6}x + 8 = \frac{1}{4}x - 6$ $\frac{5}{6}x - \frac{1}{4}x = -6 - 8$ $\frac{10}{12}x - \frac{3}{12}x = -14$ $\frac{7}{12}x = -14$ $x = -14 \cdot \frac{12}{7}$ $x = -2 \cdot 12$ **Ответ: x = -24** 2. Решаем уравнение: $1,5(2x+5) + x = 3(0,5x - 7) + 3,5$ $3x + 7,5 + x = 1,5x - 21 + 3,5$ $4x + 7,5 = 1,5x - 17,5$ $4x - 1,5x = -17,5 - 7,5$ $2,5x = -25$ $x = -25 / 2,5$ **Ответ: x = -10** 3. Решаем уравнение: $\frac{11}{18}x - \frac{2}{9} = \frac{5}{12}x + 1\frac{1}{3}$ $\frac{11}{18}x - \frac{5}{12}x = 1\frac{1}{3} + \frac{2}{9}$ $\frac{22}{36}x - \frac{15}{36}x = \frac{4}{3} + \frac{2}{9}$ $\frac{7}{36}x = \frac{12}{9} + \frac{2}{9}$ $\frac{7}{36}x = \frac{14}{9}$ $x = \frac{14}{9} \cdot \frac{36}{7}$ $x = 2 \cdot 4$ **Ответ: x = 8** 4. Решаем уравнение: $3\frac{1}{3}x - 3\frac{5}{7} = \frac{7}{15}x - 1\frac{32}{45}$ $\frac{10}{3}x - \frac{26}{7} = \frac{7}{15}x - \frac{77}{45}$ $\frac{10}{3}x - \frac{7}{15}x = \frac{26}{7} - \frac{77}{45}$ $\frac{50}{15}x - \frac{7}{15}x = \frac{26 \cdot 45}{7 \cdot 45} - \frac{77 \cdot 7}{45 \cdot 7}$ $\frac{43}{15}x = \frac{1170}{315} - \frac{539}{315}$ $\frac{43}{15}x = \frac{631}{315}$ $x = \frac{631}{315} \cdot \frac{15}{43}$ $x = \frac{631}{21 \cdot 43}$ **Ответ: $x = \frac{631}{903}$**