147. Найдите корень уравнения: a) 5x - 150 = 0; б) 48 - 3x = 0; в) -1,5х - 9 = 0; г) 12x - 1 = 35; д) -x + 4 = 47; е) 1,3x = 54 + x; ж) 7 = 6 - 0,2x; з) 0,15x + 6 = 51; и) -0,7х + 2 = 65.

Решение:

1. \( 5x - 150 = 0 \) \( \implies 5x = 150 \) \( \implies x = \frac{150}{5} \) \( \implies x = 30 \)
2. \( 48 - 3x = 0 \) \( \implies 48 = 3x \) \( \implies x = \frac{48}{3} \) \( \implies x = 16 \)
3. \( -1.5x - 9 = 0 \) \( \implies -1.5x = 9 \) \( \implies x = \frac{9}{-1.5} \) \( \implies x = -6 \)
4. \( 12x - 1 = 35 \) \( \implies 12x = 36 \) \( \implies x = \frac{36}{12} \) \( \implies x = 3 \)
5. \( -x + 4 = 47 \) \( \implies -x = 43 \) \( \implies x = -43 \)
6. \( 1.3x = 54 + x \) \( \implies 1.3x - x = 54 \) \( \implies 0.3x = 54 \) \( \implies x = \frac{54}{0.3} \) \( \implies x = 180 \)
7. \( 7 = 6 - 0.2x \) \( \implies 7 - 6 = -0.2x \) \( \implies 1 = -0.2x \) \( \implies x = \frac{1}{-0.2} \) \( \implies x = -5 \)
8. \( 0.15x + 6 = 51 \) \( \implies 0.15x = 45 \) \( \implies x = \frac{45}{0.15} \) \( \implies x = 300 \)
9. \( -0.7x + 2 = 65 \) \( \implies -0.7x = 63 \) \( \implies x = \frac{63}{-0.7} \) \( \implies x = -90 \)

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