Rozwiąż równania:
1) 3(x-2)=x
2) -(x-1)=2
3) x=1-3(x+1)
4) (x+1)-(1-x)
5) -0,25(2+x)=0,75x
6) -2(x+0,5)-3(x+1/3)=0
7) (x+2)*6=0,5x
8) 0,1(x+2)=0,2x
9) 6(1-1/3x)=2(1-0,5x)
10) 0,3x-2(0,1x+1)=0
11) 0,5(x-3)+0,25(2x+6)=5
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1.
3(x-2)=x
3x-6=x /-3x
-6=-2x /:(-2x)
x=3
2.
-(x-1)=2
-x+1=2 /-1
-x=2 /:(-1)
x=-2
3.
x=1-3(x+1)
x=1-3x-3 /+3x
4x=-2 /:4
x=-2/4
4.
(x+1)=(1-x) /+x
2x+1=1 /-1
2x=0 / :2
x=0
5.
-0,25(2+x)=0,75x
-0,5-0,25x=0,75x /-0,25x
-0,5=0,5x /:0,5
x=1
6.
-2(x+0,5)-3(x+1/3)=0
-2x-1-3x-1=0
-5x-1=0 / +1
-5x=1 / : (-5)
x= -1/5
7.
(x+2)*6=0,5x
6x+12=0,5x /*10
60x+120=5x /-60x
120=-55x /: (-55)
x=-2,(18)
8.
0,1(x+2)=0,2x
0,1x+0,2=0,2x /*10
1x+2=2x /-x
x=2
9.
6(1-1/3x)=2(1-0,5x)
6-2x=2-x /-2
4-2x=-x /+2x
x=4
10.
0,3x-2(0,1x+1)=0
0,3x-0,2x-2=0
0,1x-2=0 /*10
x-20=0 /-20
x=-20
11.
0,5(x-3)+0,25(2x+6)=5
0,5x-1,5x+0,5x+1,5=5
-0,5x+1,5=5 /*10
-5x+15=5 /-15
-5x=-10 / :(-5)
x=2