| x | ( | x | − | 5 100 | ) | ( | 1 | + | 20 100 | ) | − | 200 | = | 500 |
| Left side of the equation = | x | x | ( | 1 | + | 20 100 | ) | − | x | × | 5 100 | ( | 1 | + | 20 100 | ) | − | 200 |
| = | x | x | × | 1 | + | x | x | × | 20 100 | − | x | × | 5 100 | ( | 1 | + | 20 100 | ) | − | 200 |
| = | x | x | × | 1 | + | x | x | × | 20 100 | − | x | × | 5 100 | × | 1 | − | x | × | 5 100 | × | 20 100 |
| = | x | x | × | 1 | + | x | x | × | 20 100 | − | x | × | 1 20 | − | x | × | 1 100 | − | 200 |
| = | x | x | × | 1 | + | x | x | × | 20 100 | − | 3 50 | x | − | 200 |
| x | x | × | 1 | + | x | x | × | 20 100 | − | 3 50 | x | − | 200 | = | 500 |