| 1 | ÷ | ( | x | + | 1 8 | ) | = | 1 | ÷ | x | + | 1 | ÷ | x | + | 1 | ÷ | ( | x | + | 5 | ) | + | 1 | ÷ | ( | x | + | 20 | ) | + | 1 | ÷ | ( | x | + | 50 | ) |
| Multiply both sides of the equation by: | ( | x | + | 1 8 | ) | , | x |
| 1 | x | = | 1 | ( | x | + | 1 8 | ) | + | 1 | ÷ | x | × | ( | x | + | 1 8 | ) | x | + | 1 | ÷ | ( | x | + | 5 | ) | × | ( | x | + | 1 8 | ) | x | + | 1 | ÷ | ( | x | + | 20 | ) |
| 1 | x | = | 1 | x | + | 1 | × | 1 8 | + | 1 | ÷ | x | × | ( | x | + | 1 8 | ) | x | + | 1 | ÷ | ( | x | + | 5 | ) | × | ( | x | + | 1 8 | ) | x |
| 1 | x | = | 1 | x | + | 1 8 | + | 1 | ÷ | x | × | ( | x | + | 1 8 | ) | x | + | 1 | ÷ | ( | x | + | 5 | ) | × | ( | x | + | 1 8 | ) | x | + | 1 |
| Multiply both sides of the equation by: | ( | x | + | 5 | ) |
| 1 | x | ( | x | + | 5 | ) | = | 1 | x | ( | x | + | 5 | ) | + | 1 8 | ( | x | + | 5 | ) | + | 1 | ÷ | 1 | × | ( | x | + | 1 8 | ) | × | 1 | ( | x | + | 5 | ) | + | 1 | ( | x | + | 1 8 | ) |
| 1 | x | x | + | 1 | x | × | 5 | = | 1 | x | ( | x | + | 5 | ) | + | 1 8 | ( | x | + | 5 | ) | + | 1 | ÷ | 1 | × | ( | x | + | 1 8 | ) | × | 1 | ( | x | + | 5 | ) | + | 1 | ( | x | + | 1 8 | ) |
| 1 | x | x | + | 1 | x | × | 5 | = | 1 | x | x | + | 1 | x | × | 5 | + | 1 8 | ( | x | + | 5 | ) | + | 1 | ÷ | 1 | × | ( | x | + | 1 8 | ) | × | 1 |
| 1 | x | x | + | 5 | x | = | 1 | x | x | + | 5 | x | + | 1 8 | ( | x | + | 5 | ) | + | 1 | ( | x | + | 1 8 | ) | ( | x | + | 5 | ) | + | 1 | ( | x | + | 1 8 | ) |
| Multiply both sides of the equation by: | ( | x | + | 20 | ) |
| 1 | x | x | ( | x | + | 20 | ) | + | 5 | x | ( | x | + | 20 | ) | = | 1 | x | x | ( | x | + | 20 | ) | + | 5 | x | ( | x | + | 20 | ) | + | 1 8 | ( | x | + | 5 | ) | ( | x | + | 20 | ) | + | 1 | ( | x | + | 1 8 | ) |
| 1 | x | x | x | + | 1 | x | x | × | 20 | + | 5 | x | ( | x | + | 20 | ) | = | 1 | x | x | ( | x | + | 20 | ) | + | 5 | x | ( | x | + | 20 | ) | + | 1 8 | ( | x | + | 5 | ) | ( | x | + | 20 | ) | + | 1 | ( | x | + | 1 8 | ) |
| 1 | x | x | x | + | 1 | x | x | × | 20 | + | 5 | x | ( | x | + | 20 | ) | = | 1 | x | x | x | + | 1 | x | x | × | 20 | + | 5 | x | ( | x | + | 20 | ) | + | 1 8 |
| 1 | x | x | x | + | 20 | x | x | + | 5 | x | ( | x | + | 20 | ) | = | 1 | x | x | x | + | 20 | x | x | + | 5 | x | ( | x | + | 20 | ) | + | 1 8 | ( | x | + | 5 | ) |
| Multiply both sides of the equation by: | ( | x | + | 50 | ) |
| 1 | x | x | x | ( | x | + | 50 | ) | + | 20 | x | x | ( | x | + | 50 | ) | + | 5 | x | ( | x | + | 20 | ) | = | 1 | x | x | x | ( | x | + | 50 | ) | + | 20 | x | x | ( | x | + | 50 | ) | + | 5 | x | ( | x | + | 20 | ) |
| 1 | x | x | x | x | + | 1 | x | x | x | × | 50 | + | 20 | x | = | 1 | x | x | x | ( | x | + | 50 | ) | + | 20 | x | x | ( | x | + | 50 | ) | + | 5 | x | ( | x | + | 20 | ) |
| 1 | x | x | x | x | + | 1 | x | x | x | × | 50 | + | 20 | x | = | 1 | x | x | x | x | + | 1 | x | x | x | × | 50 | + | 20 | x |
| 1 | x | x | x | x | + | 50 | x | x | x | + | 20 | x | x | = | 1 | x | x | x | x | + | 50 | x | x | x | + | 20 | x | x |
| 1 | x | x | x | x | + | 50 | x | x | x | + | 20 | x | x | = | 1 | x | x | x | x | + | 50 | x | x | x | + | 20 | x | x |
| 1 | x | x | x | x | + | 50 | x | x | x | + | 20 | x | x | = | 1 | x | x | x | x | + | 50 | x | x | x | + | 20 | x | x |
| 1 | x | x | x | x | + | 50 | x | x | x | + | 20 | x | x | = | 1 | x | x | x | x | + | 50 | x | x | x | + | 20 | x | x |
| 1 | x | x | x | x | + | 50 | x | x | x | + | 20 | x | x | = | 1 | x | x | x | x | + | 50 | x | x | x | + | 20 | x | x |
| 1 | x | x | x | x | + | 50 | x | x | x | + | 20 | x | x | = | 1 | x | x | x | x | + | 50 | x | x | x | + | 20 | x | x |