| ( | 48 | − | x | ) | + | 1 | ÷ | ( | x | + | 1 | ) | = | 2 | ÷ | 3 |
| Multiply both sides of the equation by: | ( | x | + | 1 | ) |
| ( | 48 | − | x | ) | ( | x | + | 1 | ) | + | 1 | = | 2 | ÷ | 3 | × | ( | x | + | 1 | ) |
| 48 | ( | x | + | 1 | ) | − | x | ( | x | + | 1 | ) | + | 1 | = | 2 | ÷ | 3 | × | ( | x | + | 1 | ) |
| 48 | ( | x | + | 1 | ) | − | x | ( | x | + | 1 | ) | + | 1 | = | 2 | ÷ | 3 | × | x | + | 2 | ÷ | 3 | × | 1 |
| 48 | ( | x | + | 1 | ) | − | x | ( | x | + | 1 | ) | + | 1 | = | 2 3 | x | + | 2 3 |
| 48 | x | + | 48 | × | 1 | − | x | ( | x | + | 1 | ) | + | 1 | = | 2 3 | x | + | 2 3 |
| 48 | x | + | 48 | − | x | ( | x | + | 1 | ) | + | 1 | = | 2 3 | x | + | 2 3 |
| 48 | x | + | 49 | − | x | ( | x | + | 1 | ) | = | 2 3 | x | + | 2 3 |
| 48 | x | + | 49 | − | x | x | − | x | × | 1 | = | 2 3 | x | + | 2 3 |
| 47 | x | + | 49 | − | x | x | = | 2 3 | x | + | 2 3 |