| ( | ( | 1500 | − | x | ) | × | 7 20 | + | 450 | ) | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) | = | x |
| Left side of the equation = | ( | 1500 | − | x | ) | × | 7 20 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) | + | 450 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) |
| = | 1500 | × | 7 20 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) | − | x | × | 7 20 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) | + | 450 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) |
| = | 525 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) | − | x | × | 7 20 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) | + | 450 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) |
| = | 525 | × | 1 | + | 525 | × | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | − | x | × | 7 20 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) | + | 450 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) |
| = | 525 | + | 1 10 | ( | 1500 | − | x | ) | − | x | × | 7 20 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) | + | 450 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) |
| = | 525 | + | 1 10 | × | 1500 | − | 1 10 | x | − | x | × | 7 20 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) | + | 450 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) |
| = | 525 | + | 150 | − | 1 10 | x | − | x | × | 7 20 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) | + | 450 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) |
| = | 675 | − | 1 10 | x | − | x | × | 7 20 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) | + | 450 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) |
| = | 675 | − | 1 10 | x | − | x | × | 7 20 | × | 1 | − | x | × | 7 20 | × | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | + | 450 |
| = | 675 | − | 1 10 | x | − | x | × | 7 20 | − | x | × | 1 15000 | ( | 1500 | − | x | ) | + | 450 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) |
| = | 675 | − | 9 20 | x | − | x | × | 1 15000 | ( | 1500 | − | x | ) | + | 450 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) |
| = | 675 | − | 9 20 | x | − | x | × | 1 15000 | × | 1500 | + | x | × | 1 15000 | x | + | 450 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) |
| = | 675 | − | 9 20 | x | − | x | × | 1 10 | + | x | × | 1 15000 | x | + | 450 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) |
| = | 675 | − | 11 20 | x | + | x | × | 1 15000 | x | + | 450 | ( | 1 | + | 2 | ( | 1500 | − | x | ) | ÷ | 10500 | ) |
| = | 675 | − | 11 20 | x | + | x | × | 1 15000 | x | + | 450 | × | 1 | + | 450 | × | 2 | ( | 1500 | − | x | ) | ÷ | 10500 |
| = | 675 | − | 11 20 | x | + | x | × | 1 15000 | x | + | 450 | + | 3 35 | ( | 1500 | − | x | ) |
| = | 1125 | − | 11 20 | x | + | x | × | 1 15000 | x | + | 3 35 | ( | 1500 | − | x | ) |
| = | 1125 | − | 11 20 | x | + | x | × | 1 15000 | x | + | 3 35 | × | 1500 | − | 3 35 | x |
| = | 1125 | − | 11 20 | x | + | x | × | 1 15000 | x | + | 900 7 | − | 3 35 | x |
| = | 8775 7 | − | 89 140 | x | + | x | × | 1 15000 | x |
8775 7 | − | 89 140 | x | + | x | × | 1 15000 | x | = | x |