Ответ:

  1. \(-21x-16=12+7x\)
    \(-21x-7x=12+16\)
    \(-28x=28\)
    \(x=-1\).
  2. \(8-(7x+23)=x-9\)
    \(8-7x-23=x-9\)
    \(-15-7x=x-9\)
    \(-6=8x\)
    \(x=-\frac{3}{4}\).
  3. \((8-2x)-(8x+13)=0\)
    \(8-2x-8x-13=0\)
    \(-10x-5=0\)
    \(-10x=5\)
    \(x=-\frac{1}{2}\).
  4. \(3(9-7x)-4(-3x+9)=17-8x\)
    \(27-21x+12x-36=17-8x\)
    \(-9-9x=17-8x\)
    \(-x=26\)
    \(x=-26\).
  5. Умножим уравнение на 12:
    \(2(x+8)-3(4-x)=6(x-11)\)
    \(2x+16-12+3x=6x-66\)
    \(5x+4=6x-66\)
    \(x=70\).

Ответ: 1) \(x=-1\); 2) \(x=-\frac{3}{4}\); 3) \(x=-\frac{1}{2}\); 4) \(x=-26\); 5) \(x=70\).