| ( | 3 | x | + | 1 | ) | ÷ | 2 | = | 2 | ( | x | + | 1 | ) | ÷ | 3 |
| Left side of the equation = | 3 | x | × | 1 2 | + | 1 | × | 1 2 |
| = | 3 2 | x | + | 1 2 |
3 2 | x | + | 1 2 | = | 2 | ( | x | + | 1 | ) | ÷ | 3 |
| Right side of the equation = | 2 3 | ( | x | + | 1 | ) |
3 2 | x | + | 1 2 | = | 2 3 | ( | x | + | 1 | ) |
| Right side of the equation = | 2 3 | x | + | 2 3 | × | 1 |
| = | 2 3 | x | + | 2 3 |
3 2 | x | + | 1 2 | = | 2 3 | x | + | 2 3 |
3 2 | x | − | 2 3 | x | = | 2 3 | − | 1 2 |
5 6 | x | = | 2 3 | − | 1 2 |
5 6 | x | = | 1 6 |
| x | = | 1 6 | ÷ | 5 6 |
| = | 1 6 | × | 6 5 |
| = | 1 | × | 1 5 |
| x | = | 1 5 |
| x | = | 0.2 |