Odpowiedź:
Szczegółowe wyjaśnienie:
a)
(2x+3)/5 = (2-x)/3 - x / *15
3(2x+3) = 5(2-x) - 15x
6x+9 = 10-5x - 15x
6x+20x = 10-9
26x = 1 / : 26
x = 1/26
b)
(x+1)/2 - (x-1)/3 = 1/4 / *12
6(x+1)- 4(x-1) = 3
6x+6 -4x+4 = 3
2x = 3 - 10
2x = - 7 / :2
x = - 7/2 = -3 1/2
c)
(4x+7)/2 - (5x-1)/6 = x+5 / *6
3(4x+7) - 5x+1 = 6x + 30
12x + 21 - 5x + 1 = 6x +30
12x - 11x = 30 - 22
x = 8
d)
(x+5)/4 - (2x+1)/8 = (2-x)/2 / *8
2(x+5) - 2x -1 = 4(2-x)
2x +10 - 2x -1 = 8 - 4x
9 = 8 - 4x
4x = 8-9
4x = -1
x = -1/4
