Solve the equation x / 1 * 2 + X / 2 * 3 + X / 3 * 4 +. X / 1999 * 2000 = 1999

Solve the equation x / 1 * 2 + X / 2 * 3 + X / 3 * 4 +. X / 1999 * 2000 = 1999

Decomposition equation: X / 1 * 2 = x / 1-x / 2, so each term can be decomposed, such as X / 1999 * 2000 = x / 1999-x / 2000
Then the original equation is: X / 1-x / 2 + X / 2-x / 3 + X / 1999-x / 2000 = 1999, x-x / 2000 = 1999 after middle elimination,
The solution is x = 2000