| ( | 311 50 | ( | 1 | + | 20 100 | ) | ) | + | ( | 5 100 | x | ) | = | x |
| 方程左边 = | 311 50 | ( | 1 | + | 20 100 | ) | + | ( | 5 100 | x | ) |
| = | 311 50 | × | 1 | + | 311 50 | × | 20 100 | + | ( | 5 100 | x | ) |
| = | 311 50 | + | 311 250 | + | ( | 5 100 | x | ) |
| = | 933 125 | + | ( | 5 100 | x | ) |
| = | 933 125 | + | 5 100 | x |
933 125 | + | 5 100 | x | = | x |
5 100 | x | − | x | = | - | 933 125 |
| - | 19 20 | x | = | - | 933 125 |
933 125 | = | 19 20 | x |
19 20 | x | = | 933 125 |
| x | = | 933 125 | ÷ | 19 20 |
| = | 933 125 | × | 20 19 |
| = | 933 25 | × | 4 19 |
| x | = | 3732 475 |
| x | = | 7.856842 |