| ( | x | − | 12171 2500 | ) | ÷ | ( | 53349 10000 | − | 12171 2500 | ) | = | ( | 6 | − | 7 | ) | ÷ | ( | 8 | − | 7 | ) |
| Multiply both sides of the equation by: | ( | 53349 10000 | − | 12171 2500 | ) | , | ( | 8 | − | 7 | ) |
| ( | x | − | 12171 2500 | ) | ( | 8 | − | 7 | ) | = | ( | 6 | − | 7 | ) | ( | 53349 10000 | − | 12171 2500 | ) |
| x | ( | 8 | − | 7 | ) | − | 12171 2500 | ( | 8 | − | 7 | ) | = | ( | 6 | − | 7 | ) | ( | 53349 10000 | − | 12171 2500 | ) |
| x | ( | 8 | − | 7 | ) | − | 12171 2500 | ( | 8 | − | 7 | ) | = | 6 | ( | 53349 10000 | − | 12171 2500 | ) | − | 7 | ( | 53349 10000 | − | 12171 2500 | ) |
| x | × | 8 | − | x | × | 7 | − | 12171 2500 | ( | 8 | − | 7 | ) | = | 6 | ( | 53349 10000 | − | 12171 2500 | ) | − | 7 | ( | 53349 10000 | − | 12171 2500 | ) |
| x | × | 8 | − | x | × | 7 | − | 12171 2500 | ( | 8 | − | 7 | ) | = | 6 | × | 53349 10000 | − | 6 | × | 12171 2500 | − | 7 | ( | 53349 10000 | − | 12171 2500 | ) |
| x | × | 8 | − | x | × | 7 | − | 12171 2500 | ( | 8 | − | 7 | ) | = | 160047 5000 | − | 36513 1250 | − | 7 | ( | 53349 10000 | − | 12171 2500 | ) |
| 1 | x | − | 12171 2500 | ( | 8 | − | 7 | ) | = | 2799 1000 | − | 7 | ( | 53349 10000 | − | 12171 2500 | ) |
| 1 | x | − | 12171 2500 | × | 8 | + | 12171 2500 | × | 7 | = | 2799 1000 | − | 7 | ( | 53349 10000 | − | 12171 2500 | ) |
| 1 | x | − | 12171 2500 | × | 8 | + | 12171 2500 | × | 7 | = | 2799 1000 | − | 7 | × | 53349 10000 | + | 7 | × | 12171 2500 |
| 1 | x | − | 24342 625 | + | 85197 2500 | = | 2799 1000 | − | 373443 10000 | + | 85197 2500 |
| 1 | x | − | 12171 2500 | = | - | 933 2000 |
| 1 | x | = | - | 933 2000 | + | 12171 2500 |
| x | = | - | 933 2000 | + | 12171 2500 |
| x | = | 44019 10000 |