| x | ÷ | ( | x | + | 1 | ) | − | 1 | = | 3 | ÷ | ( | ( | x | + | 1 | ) | ( | x | − | 2 | ) | ) |
| Multiply both sides of the equation by: | ( | x | + | 1 | ) | , | ( | ( | x | + | 1 | ) | ( | x | − | 2 | ) | ) |
| x | ( | ( | x | + | 1 | ) | ( | x | − | 2 | ) | ) | − | 1 | ( | x | + | 1 | ) | ( | ( | x | + | 1 | ) | ( | x | − | 2 | ) | ) | = | 3 | ( | x | + | 1 | ) |
| x | ( | x | + | 1 | ) | ( | x | − | 2 | ) | − | 1 | ( | x | + | 1 | ) | ( | ( | x | + | 1 | ) | ( | x | − | 2 | ) | ) | = | 3 | ( | x | + | 1 | ) |
| x | ( | x | + | 1 | ) | ( | x | − | 2 | ) | − | 1 | ( | x | + | 1 | ) | ( | ( | x | + | 1 | ) | ( | x | − | 2 | ) | ) | = | 3 | x | + | 3 | × | 1 |
| x | ( | x | + | 1 | ) | ( | x | − | 2 | ) | − | 1 | ( | x | + | 1 | ) | ( | ( | x | + | 1 | ) | ( | x | − | 2 | ) | ) | = | 3 | x | + | 3 |
| x | x | ( | x | − | 2 | ) | + | x | × | 1 | ( | x | − | 2 | ) | − | 1 | ( | x | + | 1 | ) | ( | ( | x | + | 1 | ) | ( | x | − | 2 | ) | ) | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | ( | x | − | 2 | ) | − | 1 | ( | x | + | 1 | ) | ( | ( | x | + | 1 | ) | ( | x | − | 2 | ) | ) | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | x | × | 1 | × | 2 | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | x | × | 2 | − | 1 | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 2 | x | − | 1 | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 2 | x | − | 1 | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 2 | x | − | 1 | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 2 | x | − | 1 | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 2 | x | − | 1 | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 2 | x | − | 1 | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 2 | x | − | 1 | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 2 | x | − | 1 | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 2 | x | − | 1 | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 0 | x | − | 1 | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 1 | x | x | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 1 | x | x | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 1 | x | x | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 1 | x | x | = | 3 | x | + | 3 |
| x | x | x | − | x | x | × | 2 | + | x | × | 1 | x | − | 1 | x | x | = | 3 | x | + | 3 |