Odpowiedź:
a)
12 - 5x = 2
-5x = 2 - 12 /:(-5)
x = 10/5 = 2
b)
0,1x + 0,2 = -0,3
0,1x = -0,3 - 0,2 /:0,1
x = -0,5/0,1 = -5
c)
7 - 1,1x = 0,4 - 2,2x
-1,1x + 2,2x = 0,4 - 7
1,1x = -6,6 /:1,1
x = -6
d)
2x - 3 = 4x + 1
2x - 4x = 1 + 3
-2x = 4 /:(-2)
x = -2
e)
4 - x = 12 + 3x
-x - 3x = 12 - 4
-4x = 8 /:(-4)
x = -2
f)
7x + 4 = 2x - 6
7x - 2x = -6 - 4
5x = -10 /:5
x = -2
g)
9x - (1 + 2x) = 2(3x - 0,5) - 3
9x - 1 - 2x = 6x - 1 - 3
7x - 1 = 6x - 4
7x - 6x = -4 + 1
x = -3
h)
3(1 - x) = 2(x - 5) - 7
3 - 3x = 2x - 10 - 7
-3x - 2x = -17 - 3
-5x = -20 /:(-5)
x = 4
i)
3(x + 2) - 2 = 4(x - 1) + 5
3x + 6 - 2 = 4x - 4 + 5
3x - 4x = 1 - 4
-x = -3 /*(-1)
x = 3
j)
(x - 1)/2 = (x + 1)/3
1/2x - 1/2 = 1/3x + 1/3
1/2x - 1/3x = 1/3 + 1/2
3/6x - 2/6x = 2/6 + 3/6
1/6x = 5/6 /*6
x = 5/6 * 6 = 5
Szczegółowe wyjaśnienie:
