| ( | 5 | x | − | 1 | ) | = | ( | 3 | x | + | 1 | ) | − | ( | 2 | − | x | ) | ÷ | 3 |
| 5 | x | − | 1 | = | ( | 3 | x | + | 1 | ) | − | ( | 2 | − | x | ) | ÷ | 3 |
| 5 | x | − | 1 | = | 3 | x | + | 1 | − | ( | 2 | − | x | ) | ÷ | 3 |
| 5 | x | − | 1 | = | 3 | x | + | 1 | − | 2 | × | 1 3 | + | x | × | 1 3 |
| 5 | x | − | 1 | = | 3 | x | + | 1 | − | 2 3 | + | x | × | 1 3 |
| 5 | x | − | 1 | = | 10 3 | x | + | 1 3 |
| 5 | x | − | 10 3 | x | = | 1 3 | + | 1 |
5 3 | x | = | 1 3 | + | 1 |
5 3 | x | = | 4 3 |
| x | = | 4 3 | ÷ | 5 3 |
| = | 4 3 | × | 3 5 |
| = | 4 | × | 1 5 |
| x | = | 4 5 |
| x | = | 0.8 |