147. Найдите корень уравнения:

Решение:

а) \(5x - 150 = 0\)

\(5x = 150\)

\(x = \frac{150}{5}\)

\(x = 30\)

б) \(48 - 3x = 0\)

\(-3x = -48\)

\(x = \frac{-48}{-3}\)

\(x = 16\)

в) \(-1,5x - 9 = 0\)

\(-1,5x = 9\)

\(x = \frac{9}{-1,5}\)

\(x = -6\)

г) \(12x - 1 = 35\)

\(12x = 35 + 1\)

\(12x = 36\)

\(x = \frac{36}{12}\)

\(x = 3\)

д) \(-x + 4 = 47\)

\(-x = 47 - 4\)

\(-x = 43\)

\(x = -43\)

е) \(1,3x = 54 + x\)

\(1,3x - x = 54\)

\(0,3x = 54\)

\(x = \frac{54}{0,3}\)

\(x = 180\)

ж) \(7 = 6 - 0,2x\)

\(7 - 6 = -0,2x\)

\(1 = -0,2x\)

\(x = \frac{1}{-0,2}\)

\(x = -5\)

3) \(0,15x + 6 = 51\)

\(0,15x = 51 - 6\)

\(0,15x = 45\)

\(x = \frac{45}{0,15}\)

\(x = 300\)

и) \(-0,7x + 2 = 65\)

\(-0,7x = 65 - 2\)

\(-0,7x = 63\)

\(x = \frac{63}{-0,7}\)

\(x = -90\)

Ответ: а) 30; б) 16; в) -6; г) 3; д) -43; е) 180; ж) -5; з) 300; и) -90.