| 3 | x | + | ( | x | − | 1 | ) | ÷ | 2 | = | 3 | + | ( | 2 | x | − | 1 | ) | ÷ | 3 |
| 方程左边 = | 3 | x | + | x | × | 1 2 | − | 1 | × | 1 2 |
| = | 3 | x | + | x | × | 1 2 | − | 1 2 |
| = | 7 2 | x | − | 1 2 |
7 2 | x | − | 1 2 | = | 3 | + | ( | 2 | x | − | 1 | ) | ÷ | 3 |
| 方程右边 = | 3 | + | 2 | x | × | 1 3 | − | 1 | × | 1 3 |
| = | 3 | + | 2 3 | x | − | 1 3 |
| = | 8 3 | + | 2 3 | x |
7 2 | x | − | 1 2 | = | 8 3 | + | 2 3 | x |
7 2 | x | − | 2 3 | x | = | 8 3 | + | 1 2 |
17 6 | x | = | 8 3 | + | 1 2 |
17 6 | x | = | 19 6 |
| x | = | 19 6 | ÷ | 17 6 |
| = | 19 6 | × | 6 17 |
| = | 19 | × | 1 17 |
| x | = | 19 17 |
| x | = | 1.117647 |