| x | + | 1 5 | x | = | 3 10 | ( | x | − | 10 | ) | + | ( | x | − | 10 | ) |
| Left side of the equation = | 6 5 | x |
6 5 | x | = | 3 10 | ( | x | − | 10 | ) | + | ( | x | − | 10 | ) |
| Right side of the equation = | 3 10 | x | − | 3 10 | × | 10 | + | ( | x | − | 10 | ) |
| = | 3 10 | x | − | 3 | + | ( | x | − | 10 | ) |
| = | 3 10 | x | − | 3 | + | x | − | 10 |
| = | 13 10 | x | − | 13 |
6 5 | x | = | 13 10 | x | − | 13 |
6 5 | x | − | 13 10 | x | = | - | 13 |
| - | 1 10 | x | = | - | 13 |
| 13 | = | 1 10 | x |
1 10 | x | = | 13 |
| x | = | 13 | ÷ | 1 10 |
| = | 13 | × | 10 |
| x | = | 130 |