| 5 | + | ( | 45 | + | x | ) | + | 5 | ÷ | ( | 50 | + | x | ) | = | 1 |
| 方程两边同时乘以: | ( | 50 | + | x | ) |
| 5 | ( | 50 | + | x | ) | + | ( | 45 | + | x | ) | ( | 50 | + | x | ) | + | 5 | = | 1 | ( | 50 | + | x | ) |
| 5 | × | 50 | + | 5 | x | + | ( | 45 | + | x | ) | ( | 50 | + | x | ) | + | 5 | = | 1 | ( | 50 | + | x | ) |
| 5 | × | 50 | + | 5 | x | + | ( | 45 | + | x | ) | ( | 50 | + | x | ) | + | 5 | = | 1 | × | 50 | + | 1 | x |
| 250 | + | 5 | x | + | ( | 45 | + | x | ) | ( | 50 | + | x | ) | + | 5 | = | 50 | + | 1 | x |
| 255 | + | 5 | x | + | ( | 45 | + | x | ) | ( | 50 | + | x | ) | = | 50 | + | 1 | x |
| 255 | + | 5 | x | + | 45 | ( | 50 | + | x | ) | + | x | ( | 50 | + | x | ) | = | 50 | + | 1 | x |
| 255 | + | 5 | x | + | 45 | × | 50 | + | 45 | x | + | x | ( | 50 | + | x | ) | = | 50 | + | 1 | x |
| 255 | + | 5 | x | + | 2250 | + | 45 | x | + | x | ( | 50 | + | x | ) | = | 50 | + | 1 | x |
| 2505 | + | 50 | x | + | x | ( | 50 | + | x | ) | = | 50 | + | 1 | x |
| 2505 | + | 50 | x | + | x | × | 50 | + | x | x | = | 50 | + | 1 | x |
| 2505 | + | 100 | x | + | x | x | = | 50 | + | 1 | x |