| x | = | 12 100 | − | ( | 1 2 | ( | 1 | + | x | ) | ) | ÷ | 147 10 |
| Right side of the equation = | 12 100 | − | 1 2 | ( | 1 | + | x | ) | × | 10 147 |
| = | 12 100 | − | 5 147 | ( | 1 | + | x | ) |
| = | 12 100 | − | 5 147 | × | 1 | − | 5 147 | x |
| = | 12 100 | − | 5 147 | − | 5 147 | x |
| = | 316 3675 | − | 5 147 | x |
| x | = | 316 3675 | − | 5 147 | x |
| x | + | 5 147 | x | = | 316 3675 |
152 147 | x | = | 316 3675 |
| x | = | 316 3675 | ÷ | 152 147 |
| = | 316 3675 | × | 147 152 |
| = | 79 25 | × | 1 38 |
| x | = | 79 950 |
| x | = | 0.083158 |