1)4x-2(3/4)=1(1/4)
2)6(11/12)-1/3*x=3(1/4)
3)x:2/5-3(2/5)=2(1/2)
4)10-4/7:x=9(4/7)

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

4x = 1(1/4) + 2(3/4) = 5/4 + 11/4 = 16/4 = 4

4x = 4

x = 4/4 = 1

x = 1

2) 6(11/12) - 1/3*x = 3(1/4)

-1/3x = 3(1/4) - 6(11/12) = 39/12 - 83/12 = -11/3

-1/3x = -11/3

x = 11/3 : 1/3 = 11

x = 11

3) x : 2/5 - 3(2/5) = 2(1/2)

x : 2/5 = 2(1/2) + 3(2/5) = 25/10 + 34/10 = 59/10

x : 2/5 = 59/10

x = 59/10 * 2/5 = 59/25

4) 10-4/7:x=9(4/7)

-4/7:x = 9(4/7) - 10 = 67/7 - 70/7 = -3/7

-4/7:x = -3/7

x = -4/7 : -3/7 = 28/21

x = 28/21 = 1(7/27)