Ответ:

  1. \(18-16x=-30x-10\)

    \(18+14x=-10\)

    \(14x=-28\)

    \(x=-2\)

  2. \(-7x+2=3x-1\)

    \(3=10x\)

    \(x=\frac{3}{10}\)

  3. \(10-2x=12+x\)

    \(-3x=2\)

    \(x=-\frac{2}{3}\)

  4. \(6x-19=-2x-15\)

    \(8x=4\)

    \(x=\frac{1}{2}\)

  5. \(0.2x+3.4=0.6x-2.6\)

    \(6=0.4x\)

    \(x=15\)

  6. \(\frac{5}{6}x+12=\frac{1}{4}x-2\)

    \(\left(\frac{5}{6}-\frac{1}{4}\right)x=-14\)

    \(\frac{7}{12}x=-14\)

    \(x=-24\)

Ответ: 1) \(x=-2\); 2) \(x=\frac{3}{10}\); 3) \(x=-\frac{2}{3}\); 4) \(x=\frac{1}{2}\); 5) \(x=15\); 6) \(x=-24\).