Tìm x, biết x + (x – 1) – (x – 2) + (x – 3) – (x – 4) + … + (x – 2021) – (x – 2022) = 0.

x + (x – 1) – (x – 2) + (x – 3) – (x – 4) + … + (x – 2021) – (x – 2022) = 0

x + [(x – 1) – (x – 2)] + [(x – 3) – (x – 4)] + … + [(x – 2021) – (x – 2022)] = 0

x + (x – 1 – x + 2) + (x – 3 – x + 4) + … + (x – 2021 – x + 2022) = 0

x + 1 + 1 + 1 + … + 1 = 0 (1011 số 1)

x + 1011 = 0

x = –1011.