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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 （26.813+x）×2.75 = 53.627+72.74-x .
Question type: Equation
Solution:Original question:
| ( | 26813 1000 | + | x | ) | × | 11 4 | = | 53627 1000 | + | 3637 50 | − | x |
| Left side of the equation = | 26813 1000 | × | 11 4 | + | x | × | 11 4 |
| = | 294943 4000 | + | x | × | 11 4 |
294943 4000 | + | 11 4 | x | = | 53627 1000 | + | 3637 50 | − | x |
| Right side of the equation = | 126367 1000 | − | x |
294943 4000 | + | 11 4 | x | = | 126367 1000 | − | x |
Transposition :
11 4 | x | + | x | = | 126367 1000 | − | 294943 4000 |
Combine the items on the left of the equation:
15 4 | x | = | 126367 1000 | − | 294943 4000 |
Combine the items on the right of the equation:
15 4 | x | = | 8421 160 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 8421 160 | ÷ | 15 4 |
| = | 8421 160 | × | 4 15 |
| = | 2807 40 | × | 1 5 |
We obtained :
| x | = | 2807 200 |
Convert the result to decimal form :
| x | = | 14.035 |