Odpowiedź :
a) x - 2(x + 5) = -3 (4 + x) + 8
x - 2x - 10 = -12 - 3x + 8
-x + 3x = -4 + 10
2x = 6 /:2
x = 3
b) x/2 - 3(x - 2) = -5x + 16
x/2 - 3x + 6 = -5x + 16
x/2 - 3x + 5x = 16 - 6
2,5x = 10 /:2,5
x = 4
c) (x + 1) : 3 - 2(x - 1) = x/2 - x
x/3 + 1/3 - 2x + 2 = -x/2
2 i 1/3x = -2 i 1/3
x = -1
d) (x + 2)^2 = 2x + (x - 3)^2
x^2 + 4 = 2x + x^2 - 9
x^2 - x^2 - 2x = -9 - 4
-2x = -13 /:-2
x = 6,5
x - 2x - 10 = -12 - 3x + 8
-x + 3x = -4 + 10
2x = 6 /:2
x = 3
b) x/2 - 3(x - 2) = -5x + 16
x/2 - 3x + 6 = -5x + 16
x/2 - 3x + 5x = 16 - 6
2,5x = 10 /:2,5
x = 4
c) (x + 1) : 3 - 2(x - 1) = x/2 - x
x/3 + 1/3 - 2x + 2 = -x/2
2 i 1/3x = -2 i 1/3
x = -1
d) (x + 2)^2 = 2x + (x - 3)^2
x^2 + 4 = 2x + x^2 - 9
x^2 - x^2 - 2x = -9 - 4
-2x = -13 /:-2
x = 6,5
Odpowiedź:
1. x-2(x+5)=-3(4+x)+8
x-2x-10=-12-3x+8
2x=6
x=3
2. x/2-3x+6=-5x+16/razy2
x-6x+12=-10x+32
5x=20
x=4
3. (x+1):3-2x+2=x/2-x/razy 6
2x+2-12x+12=3x-6x
-7x=-14
x=2
4.
(x+2)(x+2)=2x+(x-3)(x-3)
X*2+4x=4=2x+X*2-6x+9
8x=4
x=1/2
5.
(x-2)(x+2)=(x-1)*2
x*2+2x-2x-4=x*2-2x+1
2x-2x-4=-2x+1
2x=5
x=2,5
6.
2(x-4)(x+5)=x(2x-10)-14
2(x*2+5x-4x-20)=2x*2-10x-14
2x*2+10x-8x-40=2x*2-10x-14
10x-8x+10x=-14+40
12x=26
x=2 2/12
x=2 1/6
Szczegółowe wyjaśnienie: