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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.
    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 （26.6-x）*（2700/480*1460）*1460/2630 = （56.7-x）*（2700/480*2630） .
    Question type: Equation
    Solution:Original question:
     (
133
5
 − x )(2700 ÷ 480 × 1460) × 1460 ÷ 2630 = (
567
10
 − x )(2700 ÷ 480 × 2630)
     Left side of the equation = (
133
5
 − x )(2700 ÷ 480 × 1460) ×
146
263
    The equation is transformed into :
     (
133
5
 − x )(2700 ÷ 480 × 1460) ×
146
263
 = (
567
10
 − x )(2700 ÷ 480 × 2630)
    Remove the bracket on the left of the equation:
     Left side of the equation =
133
5
(2700 ÷ 480 × 1460) ×
146
263
 − x (2700 ÷ 480 × 1460) ×
146
263
                                             =
19418
1315
(2700 ÷ 480 × 1460) − x (2700 ÷ 480 × 1460) ×
146
263
                                             =
19418
1315
 × 2700 ÷ 480 × 1460 − x (2700 ÷ 480 × 1460) ×
146
263
                                             =
31894065
263
 − x (2700 ÷ 480 × 1460) ×
146
263
                                             =
31894065
263
 − x × 2700 ÷ 480 × 1460 ×
146
263
                                             =
31894065
263
 − x ×
1199025
263
    The equation is transformed into :
     
31894065
263
 −
1199025
263
 x = (
567
10
 − x )(2700 ÷ 480 × 2630)
    Remove the bracket on the right of the equation:
     Right side of the equation =
567
10
(2700 ÷ 480 × 2630) − x (2700 ÷ 480 × 2630)
                                               =
567
10
 × 2700 ÷ 480 × 2630 − x (2700 ÷ 480 × 2630)
                                               =
6710445
8
 − x (2700 ÷ 480 × 2630)
                                               =
6710445
8
 − x × 2700 ÷ 480 × 2630
                                               =
6710445
8
 − x ×
59175
4
    The equation is transformed into :
     
31894065
263
 −
1199025
263
 x =
6710445
8
 −
59175
4
 x

    Transposition :
      -
1199025
263
 x +
59175
4
 x =
6710445
8
 −
31894065
263

    Combine the items on the left of the equation:
     
10766925
1052
 x =
6710445
8
 −
31894065
263

    Combine the items on the right of the equation:
     
10766925
1052
 x =
1509694515
2104

    The coefficient of the unknown number is reduced to 1 :
      x =
1509694515
2104
 ÷
10766925
1052
        =
1509694515
2104
 ×
1052
10766925
        =
33548767
526
 ×
263
239265

    We obtained :
      x =
8823325721
125853390
    This is the solution of the equation.

    By reducing fraction, we can get:
      x =
33548767
478530

    Convert the result to decimal form :
      x = 70.10797



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