Odpowiedź:
a)
2x + 2(2x - 2) =8
2x + 4x - 4 = 8
6x = 8 + 4 = 12
x = 12/6 = 2
b)
x/5 - x/3 = 2 | * 15
3x - 5x = 30
- 2x = 30
2x = - 30
x =- 30/2 = - 15
c)
(2x - 1)/2x = x/(x - 2)
założenie:
2x ≠ 0 ∧ x - 2 ≠ 0
x ≠ 0 ∧ x ≠ 2
D: x ∈ R \ { 0 , 2 }
(2x - 1)(x - 2) = 2x²
2x² - x - 4x + 2 = 2x²
2x² - 2x² - 5x = - 2
- 5x = - 2
5x = 2
x = 2/5 = 0,4
