| ( | x | − | 6000 | × | 6 100 | ) | ( | 1 | − | 25 100 | ) | ÷ | 3000 | + | 600 | = | ( | x | − | 6000 | × | 6 100 | − | 2400 | × | 8 100 | ) | ( | 1 | − | 25 100 | ) | ÷ | 3000 |
| Left side of the equation = | x | ( | 1 | − | 25 100 | ) | × | 1 3000 | − | 6000 | × | 6 100 | ( | 1 | − | 25 100 | ) | × | 1 3000 | + | 600 |
| = | x | ( | 1 | − | 25 100 | ) | × | 1 3000 | − | 3 25 | ( | 1 | − | 25 100 | ) | + | 600 |
| = | x | × | 1 | × | 1 3000 | − | x | × | 25 100 | × | 1 3000 | − | 3 25 | ( | 1 | − | 25 100 | ) | + | 600 |
| = | x | × | 1 3000 | − | x | × | 1 12000 | − | 3 25 | ( | 1 | − | 25 100 | ) | + | 600 |
| = | 1 4000 | x | − | 3 25 | ( | 1 | − | 25 100 | ) | + | 600 |
| = | 1 4000 | x | − | 3 25 | × | 1 | + | 3 25 | × | 25 100 | + | 600 |
| = | 1 4000 | x | − | 3 25 | + | 3 100 | + | 600 |
| = | 1 4000 | x | + | 59991 100 |
1 4000 | x | + | 59991 100 | = | ( | x | − | 6000 | × | 6 100 | − | 2400 | × | 8 100 | ) | ( | 1 | − | 25 100 | ) | ÷ | 3000 |
| Right side of the equation = | x | ( | 1 | − | 25 100 | ) | × | 1 3000 | − | 6000 | × | 6 100 | ( | 1 | − | 25 100 | ) | × | 1 3000 | − | 2400 | × | 8 100 | ( | 1 | − | 25 100 | ) | × | 1 3000 |
| = | x | ( | 1 | − | 25 100 | ) | × | 1 3000 | − | 3 25 | ( | 1 | − | 25 100 | ) | − | 8 125 | ( | 1 | − | 25 100 | ) |
| = | x | × | 1 | × | 1 3000 | − | x | × | 25 100 | × | 1 3000 | − | 3 25 | ( | 1 | − | 25 100 | ) | − | 8 125 | ( | 1 | − | 25 100 | ) |
| = | x | × | 1 3000 | − | x | × | 1 12000 | − | 3 25 | ( | 1 | − | 25 100 | ) | − | 8 125 | ( | 1 | − | 25 100 | ) |
| = | 1 4000 | x | − | 3 25 | ( | 1 | − | 25 100 | ) | − | 8 125 | ( | 1 | − | 25 100 | ) |
| = | 1 4000 | x | − | 3 25 | × | 1 | + | 3 25 | × | 25 100 | − | 8 125 | ( | 1 | − | 25 100 | ) |
| = | 1 4000 | x | − | 3 25 | + | 3 100 | − | 8 125 | ( | 1 | − | 25 100 | ) |
| = | 1 4000 | x | − | 9 100 | − | 8 125 | ( | 1 | − | 25 100 | ) |
| = | 1 4000 | x | − | 9 100 | − | 8 125 | × | 1 | + | 8 125 | × | 25 100 |
| = | 1 4000 | x | − | 9 100 | − | 8 125 | + | 2 125 |
| = | 1 4000 | x | − | 69 500 |
1 4000 | x | + | 59991 100 | = | 1 4000 | x | − | 69 500 |
1 4000 | x | − | 1 4000 | x | = | - | 69 500 | − | 59991 100 |
| 0 | x | = | - | 69 500 | − | 59991 100 |
| 0 | x | = | - | 75006 125 |