| ( | 1 100 | + | x | ) | = | 149 50 | ( | 1 10 | − | x | ) | ( | 1 10 | − | x | ) |
| Left side of the equation = | 1 100 | + | x |
1 100 | + | x | = | 149 50 | ( | 1 10 | − | x | ) | ( | 1 10 | − | x | ) |
| Right side of the equation = | 149 50 | × | 1 10 | ( | 1 10 | − | x | ) | − | 149 50 | x | ( | 1 10 | − | x | ) |
| = | 149 500 | ( | 1 10 | − | x | ) | − | 149 50 | x | ( | 1 10 | − | x | ) |
| = | 149 500 | × | 1 10 | − | 149 500 | x | − | 149 50 | x | ( | 1 10 | − | x | ) |
| = | 149 5000 | − | 149 500 | x | − | 149 50 | x | ( | 1 10 | − | x | ) |
| = | 149 5000 | − | 149 500 | x | − | 149 50 | x | × | 1 10 | + | 149 50 | x | x |
| = | 149 5000 | − | 149 500 | x | − | 149 500 | x | + | 149 50 | x | x |
| = | 149 5000 | − | 149 250 | x | + | 149 50 | x | x |
1 100 | + | x | = | 149 5000 | − | 149 250 | x | + | 149 50 | x | x |