(х+1 8/9)+3 7/9=4 4/9

Решим данное уравнение, перенесем значения с левой части уравнения в правую часть со сменой знака на противоположный:

(х + 1 8/9) + 3 7/9 = 4 4/9;

х + 1 8/9 = 4 4/9 - 3 7/9;

4 4/9 - 3 7/9 = 4 - 3 + 4/9 - 7/9 = 1 + 4/9 - 7/9 = 1 + (4 - 7)/9 = 1 + (-3/9) = 1 - 3/9 = 9/9 - 3/9 = (9 - 3)/9 = 6/9 = (3 * 2)/(3 * 3) = 2/3;

х + 1 8/9 = 2/3;

х = 2/3 - 1 8/9;

2/3 - 1 8/9 = -(1 8/9 - 2/3) = -(1 + 8/9 - 2/3) = -(1 + 8/9 - 6/9) = -(1 + (8 - 6)/9) = -(1 + 2/9) = -(1 2/9) = -1 2/9;

х = -1 2/9.

Ответ: х = -1 2/9.