197. Решите уравнение: 1) -4x = 32; 2) 0,7x = -1,4; 3) -1,2x = -3,6; 4) 1/3 : x = -2/9; 5) -2/7 x = -1/3; 6) -2 1/3 x = 7/15.

Решение:

1. \( -4x = 32 \)
   \( x = \frac{32}{-4} \)
   \( x = -8 \)
2. \( 0,7x = -1,4 \)
   \( x = \frac{-1,4}{0,7} \)
   \( x = -2 \)
3. \( -1,2x = -3,6 \)
   \( x = \frac{-3,6}{-1,2} \)
   \( x = 3 \)
4. \( \frac{1}{3} : x = -\frac{2}{9} \)
   \( x = \frac{1}{3} : \left(-\frac{2}{9}\right) \)
   \( x = \frac{1}{3} \cdot \left(-\frac{9}{2}\right) \)
   \( x = -\frac{3}{2} = -1\frac{1}{2} \)
5. \( -\frac{2}{7}x = -\frac{1}{3} \)
   \( x = \left(-\frac{1}{3}\right) : \left(-\frac{2}{7}\right) \)
   \( x = \frac{1}{3} \cdot \frac{7}{2} \)
   \( x = \frac{7}{6} = 1\frac{1}{6} \)
6. \( -2\frac{1}{3}x = \frac{7}{15} \)
   \( -\frac{7}{3}x = \frac{7}{15} \)
   \( x = \frac{7}{15} : \left(-\frac{7}{3}\right) \)
   \( x = \frac{7}{15} \cdot \left(-\frac{3}{7}\right) \)
   \( x = -\frac{3}{15} \)
   \( x = -\frac{1}{5} \)

Ответ: 1) -8; 2) -2; 3) 3; 4) -1 1/2; 5) 1 1/6; 6) -1/5.