Answer:
7x-1/22 = 3x+1/10
Multiply both sides of the equation by the Lowest common Multiple of the denominators(22 and 10). This is done to clear the fractions.
The LCM of 22 and 10 is 110
So
110 x(7x-1/22) = 110 x (3x+1/10)
110/22 =5
110/10 = 11
So the eqn now becomes
5(7x-1) = 11(3x+1)
Opening the parentheses
35x - 5 = 33x + 11
Collect Like Terms
35x - 33x = 11 + 5
2x = 16
x= 8.