Задание 1. Найдите корень уравнения. 1) 7x+6=3x; 2) 3+4x=9x−11; 3) 2(x+5)=−9; 4) 2(x−11)−x=11; 5) 2(x−13)=x+13; 6) 3(x+1)−2(x−1)=4.

1. \(7x+6=3x\)
   \(7x-3x=-6\)
   \(4x=-6\)
   \(x=-\frac{3}{2}\).
2. \(3+4x=9x-11\)
   \(14=5x\)
   \(x=\frac{14}{5}\).
3. \(2(x+5)=-9\)
   \(x+5=-\frac{9}{2}\)
   \(x=-\frac{19}{2}\).
4. \(2(x-11)-x=11\)
   \(2x-22-x=11\)
   \(x=33\).
5. \(2(x-13)=x+13\)
   \(2x-26=x+13\)
   \(x=39\).
6. \(3(x+1)-2(x-1)=4\)
   \(3x+3-2x+2=4\)
   \(x+5=4\)
   \(x=-1\).

Ответ: 1) \(-\frac{3}{2}\); 2) \(\frac{14}{5}\); 3) \(-\frac{19}{2}\); 4) \(33\); 5) \(39\); 6) \(-1\).