| 500 | x | − | ( | 5 | ÷ | 13 | − | x | × | 500 | ) | × | 2 | = | 0 |
| Left side of the equation = | 500 | x | − | 5 | ÷ | 13 | × | 2 | + | x | × | 500 | × | 2 |
| = | 500 | x | − | 10 13 | + | x | × | 1000 |
| = | 1500 | x | − | 10 13 |
| 1500 | x | − | 10 13 | = | 0 |
| 1500 | x | = | 0 | + | 10 13 |
| 1500 | x | = | 10 13 |
| x | = | 10 13 | ÷ | 1500 |
| = | 10 13 | × | 1 1500 |
| = | 1 13 | × | 1 150 |
| x | = | 1 1950 |
| x | = | 0.000513 |