| 1 | ÷ | ( | x | + | 4 | ) | = | 2 | ÷ | x | + | 1 | ÷ | ( | x | + | 6 | ) |
| Multiply both sides of the equation by: | ( | x | + | 4 | ) | , | x |
| 1 | x | = | 2 | ( | x | + | 4 | ) | + | 1 | ÷ | ( | x | + | 6 | ) | × | ( | x | + | 4 | ) | x |
| 1 | x | = | 2 | x | + | 2 | × | 4 | + | 1 | ÷ | ( | x | + | 6 | ) | × | ( | x | + | 4 | ) | x |
| 1 | x | = | 2 | x | + | 8 | + | 1 | ÷ | ( | x | + | 6 | ) | × | ( | x | + | 4 | ) | x |
| Multiply both sides of the equation by: | ( | x | + | 6 | ) |
| 1 | x | ( | x | + | 6 | ) | = | 2 | x | ( | x | + | 6 | ) | + | 8 | ( | x | + | 6 | ) | + | 1 | ( | x | + | 4 | ) | x |
| 1 | x | x | + | 1 | x | × | 6 | = | 2 | x | ( | x | + | 6 | ) | + | 8 | ( | x | + | 6 | ) | + | 1 | ( | x | + | 4 | ) | x |
| 1 | x | x | + | 1 | x | × | 6 | = | 2 | x | x | + | 2 | x | × | 6 | + | 8 | ( | x | + | 6 | ) | + | 1 | ( | x | + | 4 | ) | x |
| 1 | x | x | + | 6 | x | = | 2 | x | x | + | 12 | x | + | 8 | ( | x | + | 6 | ) | + | 1 | ( | x | + | 4 | ) | x |
| 1 | x | x | + | 6 | x | = | 2 | x | x | + | 12 | x | + | 8 | x | + | 8 | × | 6 | + | 1 | ( | x | + | 4 | ) | x |
| 1 | x | x | + | 6 | x | = | 2 | x | x | + | 12 | x | + | 8 | x | + | 48 | + | 1 | ( | x | + | 4 | ) | x |
| 1 | x | x | + | 6 | x | = | 2 | x | x | + | 20 | x | + | 48 | + | 1 | ( | x | + | 4 | ) | x |
| 1 | x | x | + | 6 | x | = | 2 | x | x | + | 20 | x | + | 48 | + | 1 | x | x | + | 1 | × | 4 | x |
| 1 | x | x | + | 6 | x | = | 2 | x | x | + | 20 | x | + | 48 | + | 1 | x | x | + | 4 | x |
| 1 | x | x | + | 6 | x | = | 2 | x | x | + | 24 | x | + | 48 | + | 1 | x | x |