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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 （26.274+x）×1.55 = 52.549+70.623-x .
Question type: Equation
Solution:Original question:
| ( | 13137 500 | + | x | ) | × | 31 20 | = | 52549 1000 | + | 70623 1000 | − | x |
| Left side of the equation = | 13137 500 | × | 31 20 | + | x | × | 31 20 |
| = | 407247 10000 | + | x | × | 31 20 |
407247 10000 | + | 31 20 | x | = | 52549 1000 | + | 70623 1000 | − | x |
| Right side of the equation = | 30793 250 | − | x |
407247 10000 | + | 31 20 | x | = | 30793 250 | − | x |
Transposition :
31 20 | x | + | x | = | 30793 250 | − | 407247 10000 |
Combine the items on the left of the equation:
51 20 | x | = | 30793 250 | − | 407247 10000 |
Combine the items on the right of the equation:
51 20 | x | = | 824473 10000 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 824473 10000 | ÷ | 51 20 |
| = | 824473 10000 | × | 20 51 |
| = | 824473 500 | × | 1 51 |
We obtained :
| x | = | 824473 25500 |
Convert the result to decimal form :
| x | = | 32.332275 |