Answer:
x = 2/3
Explanation:
Given that:
2/3x-2=1/3x-3/2
Taking terms with x to left side others to right side:
2/3x -1/3x = -3/2 + 2 (signs of transferred terms will be changed)
As denominators are same:
(2-1)/3x = -3/2 + 2(2/2) (Taking LCM on lright side)
1/3x = -3/2 + 4/2
1/3x = (-3+4)/2
1/3x = 1/2
Taking cross product:
1*2 = 1*3x
2 = 3x
Dividing both sides by 3 we get:
2/3 = 3/3 x
2/3 = x
OR
x = 2/3
I hope it will help You!