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6x=10 l:6
x= 6/10
x=3/5
b) x/2 = x+¼ l*2
x=2x+0,5
x-2x=0,5
-x=0,5 l:(-1)
x=0,5
c) 2(x - 1)/3 = x+⅖
2x-2 / 3=x+2/5 l*15
10x-10=15x+6
10x-15x=6+10
-5x=16 l:(-5)
x=-3,2
d) x-1/x+3 = x/x+1
(x-1)(x+1)=x(x+3)
x[kwadrat]-1=x[kwadrat]+3x
-3x=1 l:(-3)
x= - 1/3
f) b-2/b+1 = b/b-2
b(b+1)=(b-2)(b-2)
b[kwadrat]+b=b[kwadrat]-4b+4
b+4b=4
5b=4 l:5
b=4/5
6x=10/:6
x=10/6
x=1²/₃
b) x/2 = x+¼ /*4
2x=x+1
2x-x=1
x=1
c) 2(x - 1)/3 = x+⅖
2x-2/3=x+²/₅ |*15
10x-10=3x+6
10x-3x=6-10
7x=-4 /:7
x=-⁴/₇
d) x-1/x+3 = x/x+1
(x-1)(x+1)=x(x+3)
x²-1²=x²+3x
-1=3x
x=-¹/₃
e) 2a+1/2a = a+3/a-1
(2a+1)(a-1)=2a(a+3)
2a²-2a+a-1=2a²+6a
-a-6a=1
-7a=1 /:(-7)
a=-¹/₇
f) b-2/b+1 = b/b-2
(b-2)(b-2)=b(b+1)
b²-2b-2b+4=b²+b
-4b-b=-4
-5b=-4 /:(-5)
b=⁴/₅