11.3
a) x/2 + x+1/7 = x-2
b) x+4/14 + x-4/6 = 2
c) x-8/7 + x-3/3 +5/21 = 0
d) 3x/4 + 100-5x /6 = 29
e) x+1/3 - x-2/6 = 2
f ) x - 2x+1/5 = x+2/2
g) 3x+5/6 + 6x+2/4 -2 = 0
h)x-3/4 + x-4/3 = x-5/2 + x-4/8
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a)
x/2 + x+1/7 = x-2 /*2
x+2x+2/7=2x-4 /*7
7x+2x+2=14x-28
7x+2x-14x=-28-2
-5x=-30 / :(-5)
x=6
b)
x+4/14 + x-4/6 = 2 / *14
x+4/1+14x-64/6=28
6x+24/6+14x-64/6=28
6x+24+14x-64/6=28
20x-40/6=28
-30x/3=28 /*3
-30x=84/:(-30)
x=-2.8
c)
x-8/7 + x-3/3 +5/21 = 0
3x-24/21 +7x-21/21 +5/21=0
3x-24+7x-21+5/21=0
10x-40/21=0
10x-40*1/21=0
10x - 40/21 /:10
x=4/21
d)
3x/4 + 100-5x /6 = 29
18x/24+400-24x/24=29
18x+400-24x/24=29
-x+100=29
-x=-100 +29
-x=-129 / *(-1)
x=129
e)
x+1/3 - x-2/6 = 2
2x+2/6-x-2/6=2
2x+2-x-2/6=2
x/6=2 / *6
x=12
f)
x - 2x+1/5 = x+2/2
2x-4x+2/10= 5x+10/10
2x-4x+2/10 - 5x+10/10=0
2x-4x+2 - 5x+10 /10=0
-2x-3=0
-2x=3/ :(-2)
x= -3/2
g)
3x+5/6 + 6x+2/4 -2 = 0
12x+20/24 + 36x+12/24- 48/24 =0
12x+20 + 36x+12- 48/24 =0
48x+30=0
48x=-30 /48
x=-15/24
h)
x-3/4 + x-4/3 = x-5/2 + x-4/8
6x-18/24+8x-32/24= 12x-60/24 +3x-12/24
6x-18+8x-32- 12x-60 +3x-12/24 =0
5x-80=0
5x=80/:5
x=16