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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 (1.205-x)*(30-26.3) = (x-1.165)*6.3 .
    Question type: Equation
    Solution:Original question:
     (
241
200
 − x )(30 −
263
10
) = ( x −
233
200
) ×
63
10
    Remove the bracket on the left of the equation:
     Left side of the equation =
241
200
(30 −
263
10
) − x (30 −
263
10
)
                                             =
241
200
 × 30 −
241
200
 ×
263
10
 − x (30 −
263
10
)
                                             =
723
20
 −
63383
2000
 − x (30 −
263
10
)
                                             =
8917
2000
 − x (30 −
263
10
)
                                             =
8917
2000
 − x × 30 + x ×
263
10
                                             =
8917
2000
 −
37
10
 x
    The equation is transformed into :
     
8917
2000
 −
37
10
 x = ( x −
233
200
) ×
63
10
    Remove the bracket on the right of the equation:
     Right side of the equation = x ×
63
10
 −
233
200
 ×
63
10
                                               = x ×
63
10
 −
14679
2000
    The equation is transformed into :
     
8917
2000
 −
37
10
 x =
63
10
 x −
14679
2000

    Transposition :
      -
37
10
 x −
63
10
 x = -
14679
2000
 −
8917
2000

    Combine the items on the left of the equation:
      - 10 x = -
14679
2000
 −
8917
2000

    Combine the items on the right of the equation:
      - 10 x = -
5899
500

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
5899
500
 = 10 x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     10 x =
5899
500

    The coefficient of the unknown number is reduced to 1 :
      x =
5899
500
 ÷ 10
        =
5899
500
 ×
1
10

    We obtained :
      x =
5899
5000
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 1.1798



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