| 10 | x | + | 50 | ( | x | + | 2 | ) | + | 100 | ( | 46 | − | 2 | x | ) | = | 1760 |
| 方程左边 = | 10 | x | + | 50 | x | + | 50 | × | 2 | + | 100 | ( | 46 | − | 2 | x | ) |
| = | 10 | x | + | 50 | x | + | 100 | + | 100 | ( | 46 | − | 2 | x | ) |
| = | 60 | x | + | 100 | + | 100 | ( | 46 | − | 2 | x | ) |
| = | 60 | x | + | 100 | + | 100 | × | 46 | − | 100 | × | 2 | x |
| = | 60 | x | + | 100 | + | 4600 | − | 200 | x |
| = | - | 140 | x | + | 4700 |
| - | 140 | x | + | 4700 | = | 1760 |
| - | 140 | x | = | 1760 | − | 4700 |
| - | 140 | x | = | - | 2940 |
| 2940 | = | 140 | x |
| 140 | x | = | 2940 |
| x | = | 2940 | ÷ | 140 |
| = | 2940 | × | 1 140 |
| = | 21 | × | 1 |
| x | = | 21 |