| x | + | 10 100 | x | + | ( | ( | x | + | 10 100 | ) | × | 5 | ) | = | 2287 10 |
| Left side of the equation = | 11 10 | x | + | ( | ( | x | + | 10 100 | ) | × | 5 | ) |
11 10 | x | + | ( | ( | x | + | 10 100 | ) | × | 5 | ) | = | 2287 10 |
| Left side of the equation = | 11 10 | x | + | ( | x | + | 10 100 | ) | × | 5 |
| = | 11 10 | x | + | x | × | 5 | + | 10 100 | × | 5 |
| = | 11 10 | x | + | x | × | 5 | + | 1 2 |
| = | 61 10 | x | + | 1 2 |
61 10 | x | + | 1 2 | = | 2287 10 |
61 10 | x | = | 2287 10 | − | 1 2 |
61 10 | x | = | 1141 5 |
| x | = | 1141 5 | ÷ | 61 10 |
| = | 1141 5 | × | 10 61 |
| = | 1141 | × | 2 61 |
| x | = | 2282 61 |
| x | = | 37.409836 |