| ( | 12 | ) | ( | x | + | 800 | ) | + | ( | 12 | ) | ( | x | + | 500 | ) | + | 31 | x | ÷ | 6 | + | 2 | x | ÷ | 2 | + | 62 | x | = | 464844 | − | 6200 |
| Left side of the equation = | ( | 12 | ) | ( | x | + | 800 | ) | + | ( | 12 | ) | ( | x | + | 500 | ) | + | 31 6 | x | + | 1 | x | + | 62 | x |
| = | ( | 12 | ) | ( | x | + | 800 | ) | + | ( | 12 | ) | ( | x | + | 500 | ) | + | 409 6 | x |
| ( | 12 | ) | ( | x | + | 800 | ) | + | ( | 12 | ) | ( | x | + | 500 | ) | + | 409 6 | x | = | 464844 | − | 6200 |
| Left side of the equation = | 12 | ( | x | + | 800 | ) | + | ( | 12 | ) | ( | x | + | 500 | ) | + | 409 6 | x |
| = | 12 | x | + | 12 | × | 800 | + | ( | 12 | ) | ( | x | + | 500 | ) | + | 409 6 | x |
| = | 12 | x | + | 9600 | + | ( | 12 | ) | ( | x | + | 500 | ) | + | 409 6 | x |
| = | 481 6 | x | + | 9600 | + | ( | 12 | ) | ( | x | + | 500 | ) |
| = | 481 6 | x | + | 9600 | + | 12 | ( | x | + | 500 | ) |
| = | 481 6 | x | + | 9600 | + | 12 | x | + | 12 | × | 500 |
| = | 481 6 | x | + | 9600 | + | 12 | x | + | 6000 |
| = | 553 6 | x | + | 15600 |
553 6 | x | + | 15600 | = | 464844 | − | 6200 |
| Right side of the equation = | 458644 |
553 6 | x | + | 15600 | = | 458644 |
553 6 | x | = | 458644 | − | 15600 |
553 6 | x | = | 443044 |
| x | = | 443044 | ÷ | 553 6 |
| = | 443044 | × | 6 553 |
| = | 63292 | × | 6 79 |
| x | = | 379752 79 |
| x | = | 4806.987342 |