| ( | 3 | x | + | 1 | ) | ÷ | 2 | = | ( | 4 | x | + | 2 | ) | ÷ | 5 |
| Left side of the equation = | 3 | x | × | 1 2 | + | 1 | × | 1 2 |
| = | 3 2 | x | + | 1 2 |
3 2 | x | + | 1 2 | = | ( | 4 | x | + | 2 | ) | ÷ | 5 |
| Right side of the equation = | 4 | x | × | 1 5 | + | 2 | × | 1 5 |
| = | 4 5 | x | + | 2 5 |
3 2 | x | + | 1 2 | = | 4 5 | x | + | 2 5 |
3 2 | x | − | 4 5 | x | = | 2 5 | − | 1 2 |
7 10 | x | = | 2 5 | − | 1 2 |
7 10 | x | = | - | 1 10 |
| x | = | - | 1 10 | ÷ | 7 10 |
| = | - | 1 10 | × | 10 7 |
| = | - | 1 | × | 1 7 |
| x | = | - | 1 7 |
| x | = | - 0.142857 |