| 10 | n | + | 10 | = | 1000 | ÷ | ( | n | + | 10 | ) |
| Multiply both sides of the equation by: | ( | n | + | 10 | ) |
| 10 | n | ( | n | + | 10 | ) | + | 10 | ( | n | + | 10 | ) | = | 1000 |
| 10 | n | n | + | 10 | n | × | 10 | + | 10 | ( | n | + | 10 | ) | = | 1000 |
| 10 | n | n | + | 100 | n | + | 10 | ( | n | + | 10 | ) | = | 1000 |
| 10 | n | n | + | 100 | n | + | 10 | n | + | 10 | × | 10 | = | 1000 |
| 10 | n | n | + | 100 | n | + | 10 | n | + | 100 | = | 1000 |
| 10 | n | n | + | 110 | n | + | 100 | = | 1000 |