6000 | + | ( | 80 | − | x | ) | ( | 200 | − | 10 | x | ) | − | 10 | ( | 400 | − | 10 | x | ) | = | 9000 |
Left side of the equation = | 6000 | + | 80 | ( | 200 | − | 10 | x | ) | − | x | ( | 200 | − | 10 | x | ) | − | 10 | ( | 400 | − | 10 | x | ) |
= | 6000 | + | 80 | × | 200 | − | 80 | × | 10 | x | − | x | ( | 200 | − | 10 | x | ) | − | 10 | ( | 400 | − | 10 | x | ) |
= | 6000 | + | 16000 | − | 800 | x | − | x | ( | 200 | − | 10 | x | ) | − | 10 | ( | 400 | − | 10 | x | ) |
= | 22000 | − | 800 | x | − | x | ( | 200 | − | 10 | x | ) | − | 10 | ( | 400 | − | 10 | x | ) |
= | 22000 | − | 800 | x | − | x | × | 200 | + | x | × | 10 | x | − | 10 | ( | 400 | − | 10 | x | ) |
= | 22000 | − | 1000 | x | + | x | × | 10 | x | − | 10 | ( | 400 | − | 10 | x | ) |
= | 22000 | − | 1000 | x | + | x | × | 10 | x | − | 10 | × | 400 | + | 10 | × | 10 | x |
= | 22000 | − | 1000 | x | + | x | × | 10 | x | − | 4000 | + | 100 | x |
= | 18000 | − | 900 | x | + | x | × | 10 | x |
18000 | − | 900 | x | + | x | × | 10 | x | = | 9000 |