35. Найдите корень уравнения: 1) 10x + 7 = 8x − 9; 2) 20 − 3x = 2x − 45; 3) 2,7 + 1,9x = 2x + 1,5; 4) 13/18 x + 13 = 7/12 x + 8.

1. \(10x+7=8x-9\)

   \(10x-8x=-9-7\)

   \(2x=-16\)

   \(x=-8\)

2. \(20-3x=2x-45\)

   \(20+45=2x+3x\)

   \(65=5x\)

   \(x=13\)

3. \(2.7+1.9x=2x+1.5\)

   \(2.7-1.5=2x-1.9x\)

   \(1.2=0.1x\)

   \(x=12\)

4. \(\frac{13}{18}x+13=\frac{7}{12}x+8\)

   \(\left(\frac{13}{18}-\frac{7}{12}\right)x=8-13\)

   \(\left(\frac{26}{36}-\frac{21}{36}\right)x=-5\)

   \(\frac{5}{36}x=-5\)

   \(x=-36\)

Ответ: 1) \(x=-8\); 2) \(x=13\); 3) \(x=12\); 4) \(x=-36\).