689. Найдите корень уравнения: a) 6x + 1 = 43; б) -x - 4 = 11; в) 1,5 + x = 0; г) 2 = 13 + 0,5x; д) 5x – 8 = 1,5; е) 12x + 2 = 0; ж) 1 - 27x = 0; з) 0 = 16 - 1/3x; и) 1/6x + 2 = 0.

Решение уравнений: а) \(6x + 1 = 43\) \(6x = 43 - 1\) \(6x = 42\) \(x = \frac{42}{6}\) \(x = 7\) б) \(-x - 4 = 11\) \(-x = 11 + 4\) \(-x = 15\) \(x = -15\) в) \(1.5 + x = 0\) \(x = -1.5\) г) \(2 = 13 + 0.5x\) \(0.5x = 2 - 13\) \(0.5x = -11\) \(x = \frac{-11}{0.5}\) \(x = -22\) д) \(5x - 8 = 1.5\) \(5x = 1.5 + 8\) \(5x = 9.5\) \(x = \frac{9.5}{5}\) \(x = 1.9\) е) \(12x + 2 = 0\) \(12x = -2\) \(x = \frac{-2}{12}\) \(x = -\frac{1}{6}\) ж) \(1 - 27x = 0\) \(-27x = -1\) \(x = \frac{-1}{-27}\) \(x = \frac{1}{27}\) з) \(0 = 16 - \frac{1}{3}x\) \(\frac{1}{3}x = 16\) \(x = 16 \cdot 3\) \(x = 48\) и) \(\frac{1}{6}x + 2 = 0\) \(\frac{1}{6}x = -2\) \(x = -2 \cdot 6\) \(x = -12\) Ответы: а) x = 7 б) x = -15 в) x = -1,5 г) x = -22 д) x = 1,9 е) x = -1/6 ж) x = 1/27 з) x = 48 и) x = -12