| ( | 5 | x | + | 1 | ) | ÷ | 6 | − | 2 | + | ( | x | − | 5 | ) | ÷ | 4 | = | 0 |
| 方程左边 = | 5 | x | × | 1 6 | + | 1 | × | 1 6 | − | 2 | + | ( | x | − | 5 | ) | × | 1 4 |
| = | 5 6 | x | + | 1 6 | − | 2 | + | ( | x | − | 5 | ) | × | 1 4 |
| = | 5 6 | x | − | 11 6 | + | ( | x | − | 5 | ) | × | 1 4 |
| = | 5 6 | x | − | 11 6 | + | x | × | 1 4 | − | 5 | × | 1 4 |
| = | 5 6 | x | − | 11 6 | + | x | × | 1 4 | − | 5 4 |
| = | 13 12 | x | − | 37 12 |
13 12 | x | − | 37 12 | = | 0 |
13 12 | x | = | 0 | + | 37 12 |
13 12 | x | = | 37 12 |
| x | = | 37 12 | ÷ | 13 12 |
| = | 37 12 | × | 12 13 |
| = | 37 | × | 1 13 |
| x | = | 37 13 |
| x | = | 2.846154 |