To solve this equation, we need to first simplify both sides of the equation.

2/5 - x/7 = 25 - 2/9

To simplify the left side of the equation, we need to find a common denominator for 5 and 7, which is 35.

Multiplying the first fraction by 7/7 and the second fraction by 5/5, we get:

(14/35) - (5x/35) = 25 - 2/9

Now, we can combine the fractions on the left side:

(14 - 5x) / 35 = 25 - 2/9

Next, we need to find a common denominator for 35 and 9, which is 315.

Multiplying the first fraction by 9/9 and the second fraction by 35/35, we get:

9(14 - 5x) / 315 = 25(9) - 2(35)

Now, we can simplify the equation further:

(126 - 45x) / 315 = 225 - 70

(126 - 45x) / 315 = 155

To solve for x, we can cross multiply:

126 - 45x = 155 * 315

126 - 45x = 48825

Subtract 126 from both sides:

-45x = 48799

Divide by -45:

x = -1088.8

Therefore, the solution to the equation is x = -1088.8.