Odpowiedź:
a)
3(x - 4) + 2x = -7
3x - 12 + 2x = -7
5x = -7 + 12 /:5
x = 5/5 = 1
b)
-5(x + 7) = 2(x - 7)
-5x - 35 = 2x - 14
-5x - 2x = -14 + 35
-7x = 21 /:(-7)
x = -3
c)
8(x - 2) = 6(x - 4)
8x - 16 = 6x - 24
8x - 6x = -24 + 16
2x = -8 /:2
x = -4
d)
-6(x - 1) = 2x + 4(x - 1)
-6x + 6 = 2x + 4x - 4
-6x - 4x = -4 - 6
-10x = -10 /:(-10)
x = 1
e)
(x + 2)/3 - x/6 = (x - 4)/2
1/3x + 2/3 - 1/6x = 1/2x - 2
2/6x - 1/6x - 1/2x = -2 - 2/3
1/6x - 3/6x = -2 2/3
-2/6x = -8/3
-1/3x = -8/3 /*(-3)
x = 8
f)
x/3 + 2x/5 = -2
1/3x + 2/5x = -2
5/15x + 6/15x = -2
11/15x = -2 /*15/11
x = -2 * 15/11 = -30/11 = -2 8/11
g)
(x - 7)/2 + x/10 - 8 = -2
1/2x - 7/2 + 1/10x = -2 + 8
5/10x + 1/10x = 6 + 7/2
6/10x = 6 + 3 1/2
3/5x = 9 1/2 /*5/3
x = 19/2 * 5/3 = 95/6 = 15 5/6
h)
x - (7 - x) = 4(x + 6)
x - 7 + x = 4x + 24
2x - 4x = 24 + 7
-2x = 31 /:(-2)
x = -31/2 = -15 1/2
Szczegółowe wyjaśnienie:
