| 1 | + | x | = | ( | 1 | + | 1 50 | ) | ( | 1 | + | 1 100 | ) |
| Right side of the equation = | 1 | ( | 1 | + | 1 100 | ) | + | 1 50 | ( | 1 | + | 1 100 | ) |
| = | 1 | × | 1 | + | 1 | × | 1 100 | + | 1 50 | ( | 1 | + | 1 100 | ) |
| = | 1 | + | 1 100 | + | 1 50 | ( | 1 | + | 1 100 | ) |
| = | 101 100 | + | 1 50 | ( | 1 | + | 1 100 | ) |
| = | 101 100 | + | 1 50 | × | 1 | + | 1 50 | × | 1 100 |
| = | 101 100 | + | 1 50 | + | 1 5000 |
| = | 5151 5000 |
| 1 | + | x | = | 5151 5000 |
| x | = | 5151 5000 | − | 1 |
| x | = | 151 5000 |