To solve this equation, we first need to multiply both sides by (3x + 7) to get rid of the denominator:

(3 + 25x) = 5(3x + 7)

Now, distribute the 5 on the right side:

3 + 25x = 15x + 35

Next, subtract 15x from both sides:

3 + 10x = 35

Subtract 3 from both sides:

10x = 32

Finally, divide by 10 to solve for x:

x = 32/10

x = 3.2

Therefore, the solution to the equation is x = 3.2.