Question

Rozwiaz rownanie

a)6x-7(11+2x)+2=-4(15-x)+3x

b)3(5x+3)=7(x+5)-3(2-x)

c)2(x-1)+4(x-3)=-3(x-2)+9x

d)5x-3(6-8x)=x-7(x+4)

e)2x+8(2x-3)-6(x-3)=5(3x+1)+2x-11

f)3(2x+3)-5(x-2)-4(x+7)=3

g)6(3,5-1,2x)=5(-3,5x+1,2)+0,3x

Answer 1

a)6x-7(11+2x)+2=-4(15-x)+3x

6x-77-14x+2=-60+4x+3x

-8x-75=7x-60

-8x-7x = -60+75
-15x = 15 /:(-15)
x = - 1

 

b)3(5x+3)=7(x+5)-3(2-x)

15x+9=7x+35-6+3x

15x-7x-3x=35-6-9

5x=20 |: 5

x=4

 

c)2(x-1)+4(x-3)=-3(x-2)+9x

2x-2+4x-12=-3x+6+9x

2x+4x+3x-9x=6+2+12

9x-9x = 20

0 = 20

 

d)5x-3(6-8x)=x-7(x+4)

5x-18+24x = x-7x-28
29x-18 = -6x-28
29x+6x = -28+18
35x = -10 /: 35
x = -¹⁰/₃₅
x = - ²/₇

 

e)2x+8(2x-3)-6(x-3)=5(3x+1)+2x-11

2x+16x-24-6x+18=15x+5+2x-11

2x+16x-6x-15x-2x=5-11+24-18

-5x=0 |:(-5)

x=0

 

f)3(2x+3)-5(x-2)-4(x+7)=3

6x+9-5x+10-4x-28=3

6x-5x-4x=3-9-10+28

-3x=12 |: (-3)

x=-4

 

g) 6·(3,5-1,2x) = 5·(-3,5x+1,2)+0,3x
21 - 7,2x = -17,5x + 6 + 0,3x
21 - 7,2x = -17,2x + 6
- 7,2x + 17,2x = 6 - 21
10x = - 15 /:10
x = -1,5