| ( | 3 | x | − | 6 | ) | ÷ | ( | x | + | 7 | ) | = | 3 |
| Multiply both sides of the equation by: | ( | x | + | 7 | ) |
| ( | 3 | x | − | 6 | ) | = | 3 | ( | x | + | 7 | ) |
| 3 | x | − | 6 | = | 3 | ( | x | + | 7 | ) |
| 3 | x | − | 6 | = | 3 | x | + | 3 | × | 7 |
| 3 | x | − | 6 | = | 3 | x | + | 21 |
| 3 | x | − | 3 | x | = | 21 | + | 6 |
| 0 | x | = | 21 | + | 6 |
| 0 | x | = | 27 |
| ( | 4 | x | − | 3 | ) | ÷ | ( | 2 | x | + | 6 | ) | = | 2 |
| Multiply both sides of the equation by: | ( | 2 | x | + | 6 | ) |
| ( | 4 | x | − | 3 | ) | = | 2 | ( | 2 | x | + | 6 | ) |
| 4 | x | − | 3 | = | 2 | ( | 2 | x | + | 6 | ) |
| 4 | x | − | 3 | = | 2 | × | 2 | x | + | 2 | × | 6 |
| 4 | x | − | 3 | = | 4 | x | + | 12 |
| 4 | x | − | 4 | x | = | 12 | + | 3 |
| 0 | x | = | 12 | + | 3 |
| 0 | x | = | 15 |
| ( | 7 | x | − | 5 | ) | ÷ | ( | x | + | 4 | ) | = | 7 |
| Multiply both sides of the equation by: | ( | x | + | 4 | ) |
| ( | 7 | x | − | 5 | ) | = | 7 | ( | x | + | 4 | ) |
| 7 | x | − | 5 | = | 7 | ( | x | + | 4 | ) |
| 7 | x | − | 5 | = | 7 | x | + | 7 | × | 4 |
| 7 | x | − | 5 | = | 7 | x | + | 28 |
| 7 | x | − | 7 | x | = | 28 | + | 5 |
| 0 | x | = | 28 | + | 5 |
| 0 | x | = | 33 |