( | 2 | x | + | 3 | ) | ÷ | 5 | + | ( | x | − | 3 | ) | ÷ | 4 | = | ( | 2 | x | + | 3 | ) | ÷ | 3 | − | ( | x | − | 3 | ) | ÷ | 2 |
方程左边 = | 2 | x | × | 1 5 | + | 3 | × | 1 5 | + | ( | x | − | 3 | ) | × | 1 4 |
= | 2 5 | x | + | 3 5 | + | ( | x | − | 3 | ) | × | 1 4 |
= | 2 5 | x | + | 3 5 | + | x | × | 1 4 | − | 3 | × | 1 4 |
= | 2 5 | x | + | 3 5 | + | x | × | 1 4 | − | 3 4 |
= | 13 20 | x | − | 3 20 |
13 20 | x | − | 3 20 | = | ( | 2 | x | + | 3 | ) | ÷ | 3 | − | ( | x | − | 3 | ) | ÷ | 2 |
方程右边 = | 2 | x | × | 1 3 | + | 3 | × | 1 3 | − | ( | x | − | 3 | ) | × | 1 2 |
= | 2 3 | x | + | 1 | − | ( | x | − | 3 | ) | × | 1 2 |
= | 2 3 | x | + | 1 | − | x | × | 1 2 | + | 3 | × | 1 2 |
= | 2 3 | x | + | 1 | − | x | × | 1 2 | + | 3 2 |
= | 1 6 | x | + | 5 2 |
13 20 | x | − | 3 20 | = | 1 6 | x | + | 5 2 |
13 20 | x | − | 1 6 | x | = | 5 2 | + | 3 20 |
29 60 | x | = | 5 2 | + | 3 20 |
29 60 | x | = | 53 20 |
x | = | 53 20 | ÷ | 29 60 |
= | 53 20 | × | 60 29 |
= | 53 | × | 3 29 |
x | = | 159 29 |
x | = | 5.482759 |