solve for x when 1/3x-1=7/5x-1/5

Combine "x" terms on one side and constant terms on the other side, and use a common denominator. After you do this, you should have

(21/15 -5/15)x = -4/5
(16/15)x = -12/15
Now multiply both sides by 15.
16x = -12
x = -3/4

I have assumed that your "1/3x" is (1/3)x and not 1/(3x).