Найдите корень уравнения 1) 2/3 (1/3x-1/2) = 4x+2 1/2

2/3 * 1/3 * x - 2/3 * 1/2 = 4 * x + 2 1/2;

2 / (3 * 3) * x - 2 / (3 * 2) = 4 * x + (2 * 2 + 1) / 2;

2/9 * x - 2/6 = 4 * x + 5/2;

4 * х - 2/9 * х = - 2/6 - 5/2;

36/9 * х - 2/9 * х = - 2/6 - 15/6;

(36 - 2) / 9 * х = - (2 + 15) / 6;

34/9 * х = - 17/6;

х = - 17/6 : 34/9 = - 17/6 * 9/34 = - (17 * 9) / (6 * 34) = - 3/4;

Ответ: х = - 3/4.