| ( | 1 | − | 1 | ÷ | 3 | × | x | ) | ( | 1 | − | x | ) | = | 3 |
| Left side of the equation = | 1 | ( | 1 | − | x | ) | − | 1 | ÷ | 3 | × | x | ( | 1 | − | x | ) |
| = | 1 | ( | 1 | − | x | ) | − | 1 3 | x | ( | 1 | − | x | ) |
| = | 1 | × | 1 | − | 1 | x | − | 1 3 | x | ( | 1 | − | x | ) |
| = | 1 | − | 1 | x | − | 1 3 | x | ( | 1 | − | x | ) |
| = | 1 | − | 1 | x | − | 1 3 | x | × | 1 | + | 1 3 | x | x |
| = | 1 | − | 1 | x | − | 1 3 | x | + | 1 3 | x | x |
| = | 1 | − | 4 3 | x | + | 1 3 | x | x |
| 1 | − | 4 3 | x | + | 1 3 | x | x | = | 3 |