To solve for x, we need to isolate it on one side of the equation.

First, let's rewrite the equation with fractions in a common denominator:
5ц 4/13 - х = 4ц 5/13
Convert the mixed numbers to improper fractions:
(513 + 4)/13 - x = (413 + 5)/13
(65 + 4)/13 - x = (52 + 5)/13
69/13 - x = 57/13

Next, combine the fractions on the left side:
69/13 - x = 57/13
(69 - x*13)/13 = 57/13

Simplify the equation:
69 - 13x = 57
-13x = 57 - 69
-13x = -12
x = -12 / -13
x = 12 / 13

Therefore, the value of x is 12/13.