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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation 12.18*（x-0.47）+16.918*（x-0.97）+14.773*（x-2.22） = 14.773*（5.35-x-0.63）+16.260*（5.35-x-1.88） .
Question type: Equation
Solution:Original question:
609 50 | ( | x | − | 47 100 | ) | + | 8459 500 | ( | x | − | 97 100 | ) | + | 14773 1000 | ( | x | − | 111 50 | ) | = | 14773 1000 | ( | 107 20 | − | x | − | 63 100 | ) | + | 813 50 | ( | 107 20 | − | x | − | 47 25 | ) |
| Left side of the equation = | 609 50 | x | − | 609 50 | × | 47 100 | + | 8459 500 | ( | x | − | 97 100 | ) | + | 14773 1000 | ( | x | − | 111 50 | ) |
| = | 609 50 | x | − | 28623 5000 | + | 8459 500 | ( | x | − | 97 100 | ) | + | 14773 1000 | ( | x | − | 111 50 | ) |
| = | 609 50 | x | − | 28623 5000 | + | 8459 500 | x | − | 8459 500 | × | 97 100 | + | 14773 1000 | ( | x | − | 111 50 | ) |
| = | 609 50 | x | − | 28623 5000 | + | 8459 500 | x | − | 820523 50000 | + | 14773 1000 | ( | x | − | 111 50 | ) |
| = | 14549 500 | x | − | 1106753 50000 | + | 14773 1000 | ( | x | − | 111 50 | ) |
| = | 14549 500 | x | − | 1106753 50000 | + | 14773 1000 | x | − | 14773 1000 | × | 111 50 |
| = | 14549 500 | x | − | 1106753 50000 | + | 14773 1000 | x | − | 1639803 50000 |
| = | 43871 1000 | x | − | 686639 12500 |
43871 1000 | x | − | 686639 12500 | = | 14773 1000 | ( | 107 20 | − | x | − | 63 100 | ) | + | 813 50 | ( | 107 20 | − | x | − | 47 25 | ) |
| Right side of the equation = | 14773 1000 | × | 107 20 | − | 14773 1000 | x | − | 14773 1000 | × | 63 100 | + | 813 50 | ( | 107 20 | − | x | − | 47 25 | ) |
| = | 1580711 20000 | − | 14773 1000 | x | − | 930699 100000 | + | 813 50 | ( | 107 20 | − | x | − | 47 25 | ) |
x≈2.417519 , keep 6 decimal places
There are 1 solution(s).
解一元一次方程的详细方法请参阅：《一元一次方程的解法》