| 2 | ÷ | x | + | 1 | ÷ | ( | x | + | 3 | ) | = | 1 | ÷ | ( | x | + | 4 | ) |
| Multiply both sides of the equation by: | x | , | ( | x | + | 4 | ) |
| 2 | ( | x | + | 4 | ) | + | 1 | ÷ | ( | x | + | 3 | ) | × | x | ( | x | + | 4 | ) | = | 1 | x |
| 2 | x | + | 2 | × | 4 | + | 1 | ÷ | ( | x | + | 3 | ) | × | x | ( | x | + | 4 | ) | = | 1 | x |
| 2 | x | + | 8 | + | 1 | ÷ | ( | x | + | 3 | ) | × | x | ( | x | + | 4 | ) | = | 1 | x |
| Multiply both sides of the equation by: | ( | x | + | 3 | ) |
| 2 | x | ( | x | + | 3 | ) | + | 8 | ( | x | + | 3 | ) | + | 1 | x | ( | x | + | 4 | ) | = | 1 | x | ( | x | + | 3 | ) |
| 2 | x | x | + | 2 | x | × | 3 | + | 8 | ( | x | + | 3 | ) | + | 1 | x | ( | x | + | 4 | ) | = | 1 | x | ( | x | + | 3 | ) |
| 2 | x | x | + | 2 | x | × | 3 | + | 8 | ( | x | + | 3 | ) | + | 1 | x | ( | x | + | 4 | ) | = | 1 | x | x | + | 1 | x | × | 3 |
| 2 | x | x | + | 6 | x | + | 8 | ( | x | + | 3 | ) | + | 1 | x | ( | x | + | 4 | ) | = | 1 | x | x | + | 3 | x |
| 2 | x | x | + | 6 | x | + | 8 | x | + | 8 | × | 3 | + | 1 | x | ( | x | + | 4 | ) | = | 1 | x | x | + | 3 | x |
| 2 | x | x | + | 6 | x | + | 8 | x | + | 24 | + | 1 | x | ( | x | + | 4 | ) | = | 1 | x | x | + | 3 | x |
| 2 | x | x | + | 14 | x | + | 24 | + | 1 | x | ( | x | + | 4 | ) | = | 1 | x | x | + | 3 | x |
| 2 | x | x | + | 14 | x | + | 24 | + | 1 | x | x | + | 1 | x | × | 4 | = | 1 | x | x | + | 3 | x |
| 2 | x | x | + | 14 | x | + | 24 | + | 1 | x | x | + | 4 | x | = | 1 | x | x | + | 3 | x |
| 2 | x | x | + | 18 | x | + | 24 | + | 1 | x | x | = | 1 | x | x | + | 3 | x |