2024-|1011x+2|=|1012x+3|

To solve this equation, we need to consider two cases: when the expression inside the absolute value on the left side is positive and when it is negative.

Case 1: 1011x + 2 > 0
In this case, we can remove the absolute value signs on both sides of the equation:
2024 - 1011x - 2 = 1012x + 3

Simplifying the equation:
2022 = 2023x
x = 2022/2023

Case 2: 1011x + 2 < 0
In this case, we need to change the sign of the expression inside the absolute value on the left side of the equation:
2024 + 1011x + 2 = 1012x + 3

Simplifying the equation:
2026 = 1001x
x = 2026/1001

Therefore, the solutions to the equation are x = 2022/2023 and x = 2026/1001.