Question

Rozwiąż równania:

a) 13x-8 (3x-2) = -7x -5 (12-3x)

b) 7 (2x-1) -6(11-x) =3 (x+4)

c) (x+5) (x+2) -3(4x-3)= (x-5) *2

d)12-2 (x-1)*2 =4 (x-2)-(x -3) (2x-5)

e) (x-3) (x+3) -(2x-1) *2 =x (6-3x)-9

f) 3 (x+2) *2+(2x-1)*2-7 (x+3) (x-3) =28

Answer 1

a) 13x-8 (3x-2) = -7x -5 (12-3x)

13x-24x+16=-7x-60+15x

13x-24x+7x-15x=-60-16

19x=-76

x=-4

b) 7 (2x-1) -6(11-x) =3 (x+4)

14x-7-66+6x=3x+12

14x+6x-3x=12+7+66

17x=85

x=5

c) (x+5) (x+2) -3(4x-3)= (x-5) *2

x^2+2x+5x+10-12x+9=x^2-10x+25

x^2+2x+5x-12x+10x-x^2=25-10-9

5x=6

x=6/5

d)12-2 (x-1)*2 =4 (x-2)-(x -3) (2x-5)

12-2(x^2-2x+1)=4x-8-(2x^2-5x-6x+15)

12-2x^2+4x-2=4x-8-2x^2+5x+6x-15

-2x^2+4x-4x+2x^2-x=-23+2-12

-x=-33

x=33

e) (x-3) (x+3) -(2x-1) *2 =x (6-3x)-9

x^2-9-(4x^2-4x+1)=6x-3x^2-9

x^2-9-4x^2+4x-1=6x-3x^2-9

-2x=1

x=-1/2

f) 3 (x+2) *2+(2x-1)*2-7 (x+3) (x-3) =28

3(x^2+4x+4)+(4x^2-4x+1)-7(x^2-9)=28

3x^2+12x+12+4x^2-4x+1-7x^2+63=28

8x=28-76

8x=-48

x=-8