| ( | x | − | 500 | ) | ( | 8 | + | ( | 2900 | − | x | ) | ÷ | 50 | × | 4 | ) | = | 5000 |
| Left side of the equation = | x | ( | 8 | + | ( | 2900 | − | x | ) | ÷ | 50 | × | 4 | ) | − | 500 | ( | 8 | + | ( | 2900 | − | x | ) | ÷ | 50 | × | 4 | ) |
| = | x | × | 8 | + | x | ( | 2900 | − | x | ) | ÷ | 50 | × | 4 | − | 500 | ( | 8 | + | ( | 2900 | − | x | ) | ÷ | 50 | × | 4 | ) |
| = | x | × | 8 | + | x | ( | 2900 | − | x | ) | × | 2 25 | − | 500 | ( | 8 | + | ( | 2900 | − | x | ) | ÷ | 50 | × | 4 | ) |
| = | 8 | x | + | x | × | 2900 | × | 2 25 | − | x | x | × | 2 25 | − | 500 | ( | 8 | + | ( | 2900 | − | x | ) | ÷ | 50 | × | 4 | ) |
| = | 8 | x | + | x | × | 232 | − | x | x | × | 2 25 | − | 500 | ( | 8 | + | ( | 2900 | − | x | ) | ÷ | 50 | × | 4 | ) |
| = | 240 | x | − | x | x | × | 2 25 | − | 500 | ( | 8 | + | ( | 2900 | − | x | ) | ÷ | 50 | × | 4 | ) |
| = | 240 | x | − | x | x | × | 2 25 | − | 500 | × | 8 | − | 500 | ( | 2900 | − | x | ) | ÷ | 50 | × | 4 |
| = | 240 | x | − | x | x | × | 2 25 | − | 4000 | − | 40 | ( | 2900 | − | x | ) |
| = | 240 | x | − | x | x | × | 2 25 | − | 4000 | − | 40 | × | 2900 | + | 40 | x |
| = | 240 | x | − | x | x | × | 2 25 | − | 4000 | − | 116000 | + | 40 | x |
| = | 280 | x | − | x | x | × | 2 25 | − | 120000 |
| 280 | x | − | x | x | × | 2 25 | − | 120000 | = | 5000 |