To solve this equation, we will first convert all the mixed numbers to improper fractions.

3_2/3 = 11/3
2_4/15 = 34/15
3_5/13 = 44/13

Therefore, the equation becomes:

( x - 34/15 ) = 44/13

Next, we will isolate x by adding 34/15 to both sides:

x = 44/13 + 34/15

To add these fractions, we need to find a common denominator, which is 195:

x = ( 44 15 + 34 13 ) / 13 * 15
x = ( 660 + 442 ) / 195
x = 1102 / 195

x = 556/105

Thus, the solution to the equation is x = 556/105.