| t | × | 2 | + | ( | - | t | × | 2 | ÷ | 3 | + | 5 | t | ÷ | 3 | + | 4 | ) | × | 2 | = | ( | t | + | 4 | ) | × | 2 | + | ( | - | t | × | 2 | ÷ | 3 | + | 5 | t | ÷ | 3 | + | 2 | ) | × | 2 |
| Left side of the equation = | 2 | t | − | t | × | 2 | ÷ | 3 | × | 2 | + | 5 | t | ÷ | 3 | × | 2 | + | 4 | × | 2 |
| = | 2 | t | − | t | × | 4 3 | + | 10 3 | t | + | 8 |
| = | 4 | t | + | 8 |
| 4 | t | + | 8 | = | ( | t | + | 4 | ) | × | 2 | + | ( | - | t | × | 2 | ÷ | 3 | + | 5 | t | ÷ | 3 | + | 2 | ) | × | 2 |
| Right side of the equation = | t | × | 2 | + | 4 | × | 2 | + | ( | - | t | × | 2 | ÷ | 3 | + | 5 | t | ÷ | 3 | + | 2 | ) | × | 2 |
| = | t | × | 2 | + | 8 | + | ( | - | t | × | 2 | ÷ | 3 | + | 5 | t | ÷ | 3 | + | 2 | ) | × | 2 |
| = | 2 | t | + | 8 | − | t | × | 2 | ÷ | 3 | × | 2 | + | 5 | t | ÷ | 3 | × | 2 | + | 2 |
| = | 2 | t | + | 8 | − | t | × | 4 3 | + | 10 3 | t | + | 4 |
| = | 4 | t | + | 12 |
| 4 | t | + | 8 | = | 4 | t | + | 12 |
| 4 | t | − | 4 | t | = | 12 | − | 8 |
| 0 | t | = | 12 | − | 8 |
| 0 | t | = | 4 |