| 50 | = | ( | 100 | + | x | ) | x | ÷ | ( | ( | 200 | + | x | ) | ( | 100 | − | x | ) | ) |
| 方程两边同时乘以: | ( | ( | 200 | + | x | ) | ( | 100 | − | x | ) | ) |
| 50 | ( | ( | 200 | + | x | ) | ( | 100 | − | x | ) | ) | = | ( | 100 | + | x | ) | x |
| 50 | ( | 200 | + | x | ) | ( | 100 | − | x | ) | = | ( | 100 | + | x | ) | x |
| 50 | ( | 200 | + | x | ) | ( | 100 | − | x | ) | = | 100 | x | + | x | x |
| 50 | × | 200 | ( | 100 | − | x | ) | + | 50 | x | ( | 100 | − | x | ) | = | 100 | x | + | x | x |
| 10000 | ( | 100 | − | x | ) | + | 50 | x | ( | 100 | − | x | ) | = | 100 | x | + | x | x |
| 10000 | × | 100 | − | 10000 | x | + | 50 | x | ( | 100 | − | x | ) | = | 100 | x | + | x | x |
| 1000000 | − | 10000 | x | + | 50 | x | ( | 100 | − | x | ) | = | 100 | x | + | x | x |
| 1000000 | − | 10000 | x | + | 50 | x | × | 100 | − | 50 | x | x | = | 100 | x | + | x | x |
| 1000000 | − | 10000 | x | + | 5000 | x | − | 50 | x | x | = | 100 | x | + | x | x |
| 1000000 | − | 5000 | x | − | 50 | x | x | = | 100 | x | + | x | x |