| ( | 165 | + | x | ) | × | 618 | = | ( | 97 | + | x | ) | × | 1000 |
| 方程左边 = | 165 | × | 618 | + | x | × | 618 |
| = | 101970 | + | x | × | 618 |
| 101970 | + | 618 | x | = | ( | 97 | + | x | ) | × | 1000 |
| 方程右边 = | 97 | × | 1000 | + | x | × | 1000 |
| = | 97000 | + | x | × | 1000 |
| 101970 | + | 618 | x | = | 97000 | + | 1000 | x |
| 618 | x | − | 1000 | x | = | 97000 | − | 101970 |
| - | 382 | x | = | 97000 | − | 101970 |
| - | 382 | x | = | - | 4970 |
| 4970 | = | 382 | x |
| 382 | x | = | 4970 |
| x | = | 4970 | ÷ | 382 |
| = | 4970 | × | 1 382 |
| = | 2485 | × | 1 191 |
| x | = | 2485 191 |
| x | = | 13.010471 |