| 10 | x | = | 41 100 | ( | 100 | − | 10 | x | ) | − | 10 | × | 71 100 |
| Right side of the equation = | 41 100 | ( | 100 | − | 10 | x | ) | − | 71 10 |
| 10 | x | = | 41 100 | ( | 100 | − | 10 | x | ) | − | 71 10 |
| Right side of the equation = | 41 100 | × | 100 | − | 41 100 | × | 10 | x | − | 71 10 |
| = | 41 | − | 41 10 | x | − | 71 10 |
| = | 339 10 | − | 41 10 | x |
| 10 | x | = | 339 10 | − | 41 10 | x |
| 10 | x | + | 41 10 | x | = | 339 10 |
141 10 | x | = | 339 10 |
| x | = | 339 10 | ÷ | 141 10 |
| = | 339 10 | × | 10 141 |
| = | 113 | × | 1 47 |
| x | = | 113 47 |
| x | = | 2.404255 |