| 5 | ( | 45 | + | x | ) | + | 5 | ÷ | ( | 50 | + | x | ) | = | 47 10 |
| Multiply both sides of the equation by: | ( | 50 | + | x | ) |
| 5 | ( | 45 | + | x | ) | ( | 50 | + | x | ) | + | 5 | = | 47 10 | ( | 50 | + | x | ) |
| 5 | × | 45 | ( | 50 | + | x | ) | + | 5 | x | ( | 50 | + | x | ) | + | 5 | = | 47 10 | ( | 50 | + | x | ) |
| 5 | × | 45 | ( | 50 | + | x | ) | + | 5 | x | ( | 50 | + | x | ) | + | 5 | = | 47 10 | × | 50 | + | 47 10 | x |
| 225 | ( | 50 | + | x | ) | + | 5 | x | ( | 50 | + | x | ) | + | 5 | = | 235 | + | 47 10 | x |
| 225 | × | 50 | + | 225 | x | + | 5 | x | ( | 50 | + | x | ) | + | 5 | = | 235 | + | 47 10 | x |
| 11250 | + | 225 | x | + | 5 | x | ( | 50 | + | x | ) | + | 5 | = | 235 | + | 47 10 | x |
| 11255 | + | 225 | x | + | 5 | x | ( | 50 | + | x | ) | = | 235 | + | 47 10 | x |
| 11255 | + | 225 | x | + | 5 | x | × | 50 | + | 5 | x | x | = | 235 | + | 47 10 | x |
| 11255 | + | 225 | x | + | 250 | x | + | 5 | x | x | = | 235 | + | 47 10 | x |
| 11255 | + | 475 | x | + | 5 | x | x | = | 235 | + | 47 10 | x |