To solve the equation 95(4x+40(x-3000))=513000, we can follow these steps:

1. Distribute the 40 to the terms inside the parentheses: 95(4x + 40x - 120000) = 513000.

2. Combine like terms within the parentheses: 95(44x - 120000) = 513000.

3. Distribute the 95 to the terms inside the parentheses: 4180x - 11400000 = 513000.

4. Move the constant term to the other side of the equation by adding 11400000 to both sides: 4180x = 11910000.

5. Divide both sides of the equation by 4180 to solve for x: x = 11910000 / 4180.

6. Simplify the division: x ≈ 2849.28.

Therefore, the solution to the equation is x ≈ 2849.28.