| ( | 50 | + | x | − | 40 | ) | ( | 400 | − | 10 | x | ) | = | 6500 |
| Left side of the equation = | 50 | ( | 400 | − | 10 | x | ) | + | x | ( | 400 | − | 10 | x | ) | − | 40 | ( | 400 | − | 10 | x | ) |
| = | 50 | × | 400 | − | 50 | × | 10 | x | + | x | ( | 400 | − | 10 | x | ) | − | 40 | ( | 400 | − | 10 | x | ) |
| = | 20000 | − | 500 | x | + | x | ( | 400 | − | 10 | x | ) | − | 40 | ( | 400 | − | 10 | x | ) |
| = | 20000 | − | 500 | x | + | x | × | 400 | − | x | × | 10 | x | − | 40 | ( | 400 | − | 10 | x | ) |
| = | 20000 | − | 100 | x | − | x | × | 10 | x | − | 40 | ( | 400 | − | 10 | x | ) |
| = | 20000 | − | 100 | x | − | x | × | 10 | x | − | 40 | × | 400 | + | 40 | × | 10 | x |
| = | 20000 | − | 100 | x | − | x | × | 10 | x | − | 16000 | + | 400 | x |
| = | 4000 | + | 300 | x | − | x | × | 10 | x |
| 4000 | + | 300 | x | − | x | × | 10 | x | = | 6500 |