- To solve the given equation 3x + 6/5 = 6x + 3/25, we need to isolate the variable x.

- Multiply the entire equation by the least common multiple of the denominators, which is 25 in this case.

- After multiplying by 25, the equation becomes 75x + 30 = 150x + 3.

- Move the x terms to one side by subtracting 75x from both sides.

- After simplifying, we get 30 = 75x + 3.
- Subtract 3 from both sides to get 27 = 75x.
- Divide by 75 to get the final answer x = 27/75 = 9/25.

- To check our solution, substitute x = 9/25 back into the original equation and simplify both sides to see if they are equal.
- LHS: 3(9/25) + 6/5 = 27/25 + 6/5 = (27 + 30)/25 = 57/25
- RHS: 6(9/25) + 3/25 = 54/25 + 3/25 = (54 + 3)/25 = 57/25
- Since the LHS equals the RHS when x = 9/25, our solution is correct.
Therefore, the solution to the equation 3x + 6/5 = 6x + 3/25 is x = 9/25.