1/2[x-1/2(x-1)]=3/4x-1

1/2[x-1/2(x-1)]=3/4x-1

1/2[x-1/2(x-1)]=3/4x-1
1/2（x-1/2x+1/2）=3/4x-1
1/2x-1/4x+1/4=3/4x-1
2/4x-1/4x-3/4x= -1-1/4
-1/2x= -5/4
x= -5/4*(-2)
x=5/2

(4x-1)/(x-3)=2+1/(x-3)

Go to the denominator
4x-1=2x-6+1
2x=-4
∴x=-2
The test shows that x = - 2 is the solution of the equation

2 X-1 = 3 X-1-1
1 / 2-x = 4x-1 / 3-1

Multiply both sides by six
3(1-x)=2(4x-1)-1
3-3x=8x-2-1
3+3=8x+3x
11x=6
X = 6 / 11 (6 / 11)

(x-1) ^ 2x ^ 2-4x + 2 of 3

[2x^2-4x+2 ] / (x-1)^3
=2(x^2-2x+1) / (x-1)^3
=2(x-1)^2 / (x-1)^3
=2 / (x-1)