| 5 | ( | 6 | x | − | 1 | ) | − | 45 | = | 3 | ( | 3 | x | + | 2 | ) |
| 方程左边 = | 5 | × | 6 | x | − | 5 | × | 1 | − | 45 |
| = | 30 | x | − | 5 | − | 45 |
| = | 30 | x | − | 50 |
| 30 | x | − | 50 | = | 3 | ( | 3 | x | + | 2 | ) |
| 方程右边 = | 3 | × | 3 | x | + | 3 | × | 2 |
| = | 9 | x | + | 6 |
| 30 | x | − | 50 | = | 9 | x | + | 6 |
| 30 | x | − | 9 | x | = | 6 | + | 50 |
| 21 | x | = | 6 | + | 50 |
| 21 | x | = | 56 |
| x | = | 56 | ÷ | 21 |
| = | 56 | × | 1 21 |
| = | 8 | × | 1 3 |
| x | = | 8 3 |
| x | = | 2.666667 |