| ( | 589 25 | ( | 1 | + | 20 100 | ) | ) | + | ( | 3 100 | x | ) | = | x |
| 方程左边 = | 589 25 | ( | 1 | + | 20 100 | ) | + | ( | 3 100 | x | ) |
| = | 589 25 | × | 1 | + | 589 25 | × | 20 100 | + | ( | 3 100 | x | ) |
| = | 589 25 | + | 589 125 | + | ( | 3 100 | x | ) |
| = | 3534 125 | + | ( | 3 100 | x | ) |
| = | 3534 125 | + | 3 100 | x |
3534 125 | + | 3 100 | x | = | x |
3 100 | x | − | x | = | - | 3534 125 |
| - | 97 100 | x | = | - | 3534 125 |
3534 125 | = | 97 100 | x |
97 100 | x | = | 3534 125 |
| x | = | 3534 125 | ÷ | 97 100 |
| = | 3534 125 | × | 100 97 |
| = | 3534 5 | × | 4 97 |
| x | = | 14136 485 |
| x | = | 29.146392 |