Решение:
Решим каждое уравнение:
- \( 2x - 30 = 0 \)
\( 2x = 30 \)
\( x = \frac{30}{2} \)
\( x = 15 \) - \( 45 + 10x = 8x \)
\( 10x - 8x = -45 \)
\( 2x = -45 \)
\( x = -\frac{45}{2} \)
\( x = -22.5 \) - \( 8x + 1 + x = 22 - x \)
\( 9x + 1 = 22 - x \)
\( 9x + x = 22 - 1 \)
\( 10x = 21 \)
\( x = \frac{21}{10} \)
\( x = 2.1 \) - \( 5 + 2(x + 3) = 32 \)
\( 5 + 2x + 6 = 32 \)
\( 2x + 11 = 32 \)
\( 2x = 32 - 11 \)
\( 2x = 21 \)
\( x = \frac{21}{2} \)
\( x = 10.5 \) - \( 5(2x + 4) - 3(5x - 1) = 12 \)
\( 10x + 20 - 15x + 3 = 12 \)
\( -5x + 23 = 12 \)
\( -5x = 12 - 23 \)
\( -5x = -11 \)
\( x = \frac{-11}{-5} \)
\( x = 2.2 \) - \( x + 2(6 - x) = 8 - 3(2x - 2) \)
\( x + 12 - 2x = 8 - 6x + 6 \)
\( -x + 12 = 14 - 6x \)
\( -x + 6x = 14 - 12 \)
\( 5x = 2 \)
\( x = \frac{2}{5} \)
\( x = 0.4 \)
Теперь выпишем ответы в порядке возрастания: \( -22.5 \), \( 0.4 \), \( 2.1 \), \( 2.2 \), \( 10.5 \), \( 15 \).
Ответ: -22.5, 0.4, 2.1, 2.2, 10.5, 15.