Odpowiedź:
a)
5(x - 2) - 3(1 - 2x) = 4 - ( x + 2)
5x-10 - 3 + 6x = 4 - x - 2
11x - 13 = 2 - x
11x + x = 2 + 13
12x = 15
x = 15/12 = 5/4 = 1 1/4
b)
x/3- 2 = 2x - ( x + 3)/6 | * 6
2x - 12 = 12x - x - 3
2x - 12 = 11x - 3
2x- 11x = - 3 + 12
- 9x = 9
9x= - 9
x= - 9/9 = - 1
c)
3/5x- 0,5 = 2(0,75 - 1/5x) + 0,1
0,6x - 0,5 = 1,5 - 2/5x + 0,1
0,6x - 0,5 = 1,5 - 0,4x + 0,1
0,6x - 0,5 = 1,6 - 0,4x
0,6x + 0,4x = 1,6 + 0,5
x = 2,1
d)
1/3(x² + x) + 2/3 = 2(2/3 - 2x) + 11 + 1/3x²
1/3x² + 1/3x + 2/3 = 4/3 - 4x + 11 + 1/3x²
1/3x² - 1/3x² + 1/3x + 4x = 4/3 + 11 - 2/3
1/3x + 4x = 4/3 + 11 - 2/3 | * 3
x + 12x = 4 + 33 - 2
13x = 35
x = 35/13 = 2 9/13
