| ( | ( | 2500 | − | x | ) | × | 3 10 | + | 300 | ) | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) | = | x |
| Left side of the equation = | ( | 2500 | − | x | ) | × | 3 10 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) | + | 300 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) |
| = | 2500 | × | 3 10 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) | − | x | × | 3 10 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) | + | 300 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) |
| = | 750 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) | − | x | × | 3 10 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) | + | 300 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) |
| = | 750 | × | 1 | + | 750 | × | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | − | x | × | 3 10 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) | + | 300 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) |
| = | 750 | + | 3 35 | ( | 2500 | − | x | ) | − | x | × | 3 10 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) | + | 300 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) |
| = | 750 | + | 3 35 | × | 2500 | − | 3 35 | x | − | x | × | 3 10 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) | + | 300 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) |
| = | 750 | + | 1500 7 | − | 3 35 | x | − | x | × | 3 10 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) | + | 300 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) |
| = | 6750 7 | − | 3 35 | x | − | x | × | 3 10 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) | + | 300 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) |
| = | 6750 7 | − | 3 35 | x | − | x | × | 3 10 | × | 1 | − | x | × | 3 10 | × | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | + | 300 |
| = | 6750 7 | − | 3 35 | x | − | x | × | 3 10 | − | x | × | 3 87500 | ( | 2500 | − | x | ) | + | 300 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) |
| = | 6750 7 | − | 27 70 | x | − | x | × | 3 87500 | ( | 2500 | − | x | ) | + | 300 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) |
| = | 6750 7 | − | 27 70 | x | − | x | × | 3 87500 | × | 2500 | + | x | × | 3 87500 | x | + | 300 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) |
| = | 6750 7 | − | 27 70 | x | − | x | × | 3 35 | + | x | × | 3 87500 | x | + | 300 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) |
| = | 6750 7 | − | 33 70 | x | + | x | × | 3 87500 | x | + | 300 | ( | 1 | + | 2 | ( | 2500 | − | x | ) | ÷ | 17500 | ) |
| = | 6750 7 | − | 33 70 | x | + | x | × | 3 87500 | x | + | 300 | × | 1 | + | 300 | × | 2 | ( | 2500 | − | x | ) | ÷ | 17500 |
| = | 6750 7 | − | 33 70 | x | + | x | × | 3 87500 | x | + | 300 | + | 6 175 | ( | 2500 | − | x | ) |
| = | 8850 7 | − | 33 70 | x | + | x | × | 3 87500 | x | + | 6 175 | ( | 2500 | − | x | ) |
| = | 8850 7 | − | 33 70 | x | + | x | × | 3 87500 | x | + | 6 175 | × | 2500 | − | 6 175 | x |
| = | 8850 7 | − | 33 70 | x | + | x | × | 3 87500 | x | + | 600 7 | − | 6 175 | x |
| = | 1350 | − | 177 350 | x | + | x | × | 3 87500 | x |
| 1350 | − | 177 350 | x | + | x | × | 3 87500 | x | = | x |