| x | ÷ | ( | 1052 | + | x | ) | = | 10 100 |
| Multiply both sides of the equation by: | ( | 1052 | + | x | ) |
| x | = | 10 100 | ( | 1052 | + | x | ) |
| x | = | 10 100 | × | 1052 | + | 10 100 | x |
| x | = | 526 5 | + | 10 100 | x |
| x | − | 10 100 | x | = | 526 5 |
9 10 | x | = | 526 5 |
| x | = | 526 5 | ÷ | 9 10 |
| = | 526 5 | × | 10 9 |
| = | 526 | × | 2 9 |
| x | = | 1052 9 |
| x | = | 116.888889 |