| x | ÷ | ( | 2 | x | − | 2 | ) | − | 3 | ÷ | ( | x | − | 1 | ) | = | 1 |
| Multiply both sides of the equation by: | ( | 2 | x | − | 2 | ) |
| x | − | 3 | ÷ | ( | x | − | 1 | ) | × | ( | 2 | x | − | 2 | ) | = | 1 | ( | 2 | x | − | 2 | ) |
| x | − | 3 | ÷ | ( | x | − | 1 | ) | × | 2 | x | + | 3 | ÷ | ( | x | − | 1 | ) | × | 2 | = | 1 | ( | 2 | x | − | 2 | ) |
| x | − | 3 | ÷ | ( | x | − | 1 | ) | × | 2 | x | + | 3 | ÷ | ( | x | − | 1 | ) | × | 2 | = | 1 | × | 2 | x | − | 1 | × | 2 |
| x | − | 6 | ÷ | ( | x | − | 1 | ) | × | x | + | 6 | ÷ | ( | x | − | 1 | ) | = | 2 | x | − | 2 |
| Multiply both sides of the equation by: | ( | x | − | 1 | ) |
| x | ( | x | − | 1 | ) | − | 6 | x | + | 6 | = | 2 | x | ( | x | − | 1 | ) | − | 2 | ( | x | − | 1 | ) |
| x | x | − | x | × | 1 | − | 6 | x | + | 6 | = | 2 | x | ( | x | − | 1 | ) | − | 2 | ( | x | − | 1 | ) |
| x | x | − | x | × | 1 | − | 6 | x | + | 6 | = | 2 | x | x | − | 2 | x | × | 1 | − | 2 | ( | x | − | 1 | ) |
| x | x | − | x | × | 1 | − | 6 | x | + | 6 | = | 2 | x | x | − | 2 | x | − | 2 | ( | x | − | 1 | ) |
| x | x | − | 7 | x | + | 6 | = | 2 | x | x | − | 2 | x | − | 2 | ( | x | − | 1 | ) |
| x | x | − | 7 | x | + | 6 | = | 2 | x | x | − | 2 | x | − | 2 | x | + | 2 | × | 1 |
| x | x | − | 7 | x | + | 6 | = | 2 | x | x | − | 2 | x | − | 2 | x | + | 2 |
| x | x | − | 7 | x | + | 6 | = | 2 | x | x | − | 4 | x | + | 2 |