| ( | 2 | x | + | 1 | ) | ( | 30 | ÷ | ( | 2 | x | + | 1 | ) | ) | = | 30 |
| 2 | x | ( | 30 | ÷ | ( | 2 | x | + | 1 | ) | ) | + | 1 | ( | 30 | ÷ | ( | 2 | x | + | 1 | ) | ) | = | 30 |
| 2 | x | × | 30 | ÷ | ( | 2 | x | + | 1 | ) | + | 1 | ( | 30 | ÷ | ( | 2 | x | + | 1 | ) | ) | = | 30 |
| 60 | x | ÷ | ( | 2 | x | + | 1 | ) | + | 1 | ( | 30 | ÷ | ( | 2 | x | + | 1 | ) | ) | = | 30 |
| Multiply both sides of the equation by: | ( | 2 | x | + | 1 | ) |
| 60 | x | + | 1 | ( | 30 | ÷ | ( | 2 | x | + | 1 | ) | ) | ( | 2 | x | + | 1 | ) | = | 30 | ( | 2 | x | + | 1 | ) |
| 60 | x | + | 1 | × | 30 | ÷ | ( | 2 | x | + | 1 | ) | × | ( | 2 | x | + | 1 | ) | = | 30 | ( | 2 | x | + | 1 | ) |
| 60 | x | + | 1 | × | 30 | ÷ | ( | 2 | x | + | 1 | ) | × | ( | 2 | x | + | 1 | ) | = | 30 | × | 2 | x | + | 30 | × | 1 |
| 60 | x | + | 30 | ÷ | ( | 2 | x | + | 1 | ) | × | ( | 2 | x | + | 1 | ) | = | 60 | x | + | 30 |
| Multiply both sides of the equation by: | ( | 2 | x | + | 1 | ) |
| 60 | x | ( | 2 | x | + | 1 | ) | + | 30 | ( | 2 | x | + | 1 | ) | = | 60 | x | ( | 2 | x | + | 1 | ) | + | 30 | ( | 2 | x | + | 1 | ) |
| 60 | x | × | 2 | x | + | 60 | x | × | 1 | + | 30 | ( | 2 | x | + | 1 | ) | = | 60 | x | ( | 2 | x | + | 1 | ) | + | 30 | ( | 2 | x | + | 1 | ) |
| 60 | x | × | 2 | x | + | 60 | x | × | 1 | + | 30 | ( | 2 | x | + | 1 | ) | = | 60 | x | × | 2 | x | + | 60 | x | × | 1 | + | 30 | ( | 2 | x | + | 1 | ) |
| 120 | x | x | + | 60 | x | + | 30 | ( | 2 | x | + | 1 | ) | = | 120 | x | x | + | 60 | x | + | 30 | ( | 2 | x | + | 1 | ) |
| 120 | x | x | + | 60 | x | + | 30 | × | 2 | x | + | 30 | × | 1 | = | 120 | x | x | + | 60 | x | + | 30 | ( | 2 | x | + | 1 | ) |
| 120 | x | x | + | 60 | x | + | 30 | × | 2 | x | + | 30 | × | 1 | = | 120 | x | x | + | 60 | x | + | 30 | × | 2 | x | + | 30 | × | 1 |
| 120 | x | x | + | 60 | x | + | 60 | x | + | 30 | = | 120 | x | x | + | 60 | x | + | 60 | x | + | 30 |
| 120 | x | x | + | 120 | x | + | 30 | = | 120 | x | x | + | 120 | x | + | 30 |