X+1/2024+x+2/2023=x+3/2022+x+4/2021

To solve this equation, we first need to find a common denominator for all the fractions. In this case, the common denominator is 2024 * 2023 * 2022 * 2021.

Rewriting the equation with the common denominator, we get:

(2024 * (x + 1) + 2023 * (x + 2) + 2022 * x + 3 + 2021 * x + 4) / (2024 * 2023 * 2022 * 2021) = 0

Expanding the numerator, we get:

(2024x + 2024 + 2023x + 4046 + 2022x + 3 + 2021x + 4) / (2024 * 2023 * 2022 * 2021) = 0

Combining like terms, we get:

(8070x + 8077) / (2024 * 2023 * 2022 * 2021) = 0

Now, we can solve for x by setting the numerator equal to 0:

8070x + 8077 = 0

8070x = -8077

x = -8077 / 8070

x = -1.00124

Therefore, the solution to the equation is x = -1.00124.