| - | 2 | x | − | 1 | ÷ | 6 | + | 1 | = | - | 5 | x | + | 1 | ÷ | 3 |
| Left side of the equation = | - | 2 | x | − | 1 6 | + | 1 |
| = | - | 2 | x | + | 5 6 |
| - | 2 | x | + | 5 6 | = | - | 5 | x | + | 1 | ÷ | 3 |
| Right side of the equation = | - | 5 | x | + | 1 3 |
| - | 2 | x | + | 5 6 | = | - | 5 | x | + | 1 3 |
| - | 2 | x | + | 5 | x | = | 1 3 | − | 5 6 |
| 3 | x | = | 1 3 | − | 5 6 |
| 3 | x | = | - | 1 2 |
| x | = | - | 1 2 | ÷ | 3 |
| = | - | 1 2 | × | 1 3 |
| x | = | - | 1 6 |
| x | = | - 0.166667 |