| 1000 | x | ( | 1 | − | 5 100 | ) | = | ( | 190 | × | 1000 | + | 950000 | ) | ( | 1 | + | 20 100 | ) |
| Left side of the equation = | 1000 | x | × | 1 | − | 1000 | x | × | 5 100 |
| = | 1000 | x | − | 50 | x |
| = | 950 | x |
| 950 | x | = | ( | 190 | × | 1000 | + | 950000 | ) | ( | 1 | + | 20 100 | ) |
| Right side of the equation = | 190 | × | 1000 | ( | 1 | + | 20 100 | ) | + | 950000 | ( | 1 | + | 20 100 | ) |
| = | 190000 | ( | 1 | + | 20 100 | ) | + | 950000 | ( | 1 | + | 20 100 | ) |
| = | 190000 | × | 1 | + | 190000 | × | 20 100 | + | 950000 | ( | 1 | + | 20 100 | ) |
| = | 190000 | + | 38000 | + | 950000 | ( | 1 | + | 20 100 | ) |
| = | 228000 | + | 950000 | ( | 1 | + | 20 100 | ) |
| = | 228000 | + | 950000 | × | 1 | + | 950000 | × | 20 100 |
| = | 228000 | + | 950000 | + | 190000 |
| = | 1368000 |
| 950 | x | = | 1368000 |
| x | = | 1368000 | ÷ | 950 |
| = | 1368000 | × | 1 950 |
| = | 1440 | × | 1 |
| x | = | 1440 |