| ( | 231 | + | x | ) | × | 499 10 | = | 231 | × | 253 5 | + | 20 | x |
| Left side of the equation = | 231 | × | 499 10 | + | x | × | 499 10 |
| = | 115269 10 | + | x | × | 499 10 |
115269 10 | + | 499 10 | x | = | 231 | × | 253 5 | + | 20 | x |
| Right side of the equation = | 58443 5 | + | 20 | x |
115269 10 | + | 499 10 | x | = | 58443 5 | + | 20 | x |
499 10 | x | − | 20 | x | = | 58443 5 | − | 115269 10 |
299 10 | x | = | 58443 5 | − | 115269 10 |
299 10 | x | = | 1617 10 |
| x | = | 1617 10 | ÷ | 299 10 |
| = | 1617 10 | × | 10 299 |
| = | 1617 | × | 1 299 |
| x | = | 1617 299 |
| x | = | 5.408027 |