| - | 8 | ÷ | ( | 10 | + | 3 | ( | 3 | x | + | 9 | ) | ) | + | 13 | = | 14 |
| 方程两边同时乘以: | ( | 10 | + | 3 | ( | 3 | x | + | 9 | ) | ) |
| - | 8 | + | 13 | ( | 10 | + | 3 | ( | 3 | x | + | 9 | ) | ) | = | 14 | ( | 10 | + | 3 | ( | 3 | x | + | 9 | ) | ) |
| - | 8 | + | 13 | × | 10 | + | 13 | × | 3 | ( | 3 | x | + | 9 | ) | = | 14 | ( | 10 | + | 3 | ( | 3 | x | + | 9 | ) | ) |
| - | 8 | + | 13 | × | 10 | + | 13 | × | 3 | ( | 3 | x | + | 9 | ) | = | 14 | × | 10 | + | 14 | × | 3 | ( | 3 | x | + | 9 | ) |
| - | 8 | + | 130 | + | 39 | ( | 3 | x | + | 9 | ) | = | 140 | + | 42 | ( | 3 | x | + | 9 | ) |
| 122 | + | 39 | ( | 3 | x | + | 9 | ) | = | 140 | + | 42 | ( | 3 | x | + | 9 | ) |
| 122 | + | 39 | × | 3 | x | + | 39 | × | 9 | = | 140 | + | 42 | ( | 3 | x | + | 9 | ) |
| 122 | + | 39 | × | 3 | x | + | 39 | × | 9 | = | 140 | + | 42 | × | 3 | x | + | 42 | × | 9 |
| 122 | + | 117 | x | + | 351 | = | 140 | + | 126 | x | + | 378 |
| 473 | + | 117 | x | = | 518 | + | 126 | x |
| 117 | x | − | 126 | x | = | 518 | − | 473 |
| - | 9 | x | = | 518 | − | 473 |
| - | 9 | x | = | 45 |
| - | 45 | = | 9 | x |
| 9 | x | = | - | 45 |
| x | = | - | 45 | ÷ | 9 |
| = | - | 45 | × | 1 9 |
| = | - | 5 | × | 1 |
| x | = | - | 5 |