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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 82/60*（36.676+50.954x） = 6.5*（5.795+20.425x） .
    Question type: Equation
    Solution:Original question:
     82 ÷ 60 × (
9169
250
 +
25477
500
 x ) =
13
2
(
1159
200
 +
817
40
 x )
     Left side of the equation =
41
30
(
9169
250
 +
25477
500
 x )
    The equation is transformed into :
     
41
30
(
9169
250
 +
25477
500
 x ) =
13
2
(
1159
200
 +
817
40
 x )
    Remove the bracket on the left of the equation:
     Left side of the equation =
41
30
 ×
9169
250
 +
41
30
 ×
25477
500
 x
                                             =
375929
7500
 +
1044557
15000
 x
    The equation is transformed into :
     
375929
7500
 +
1044557
15000
 x =
13
2
(
1159
200
 +
817
40
 x )
    Remove the bracket on the right of the equation:
     Right side of the equation =
13
2
 ×
1159
200
 +
13
2
 ×
817
40
 x
                                               =
15067
400
 +
10621
80
 x
    The equation is transformed into :
     
375929
7500
 +
1044557
15000
 x =
15067
400
 +
10621
80
 x

    Transposition :
     
1044557
15000
 x −
10621
80
 x =
15067
400
 −
375929
7500

    Combine the items on the left of the equation:
      -
1893761
30000
 x =
15067
400
 −
375929
7500

    Combine the items on the right of the equation:
      -
1893761
30000
 x = -
373691
30000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
373691
30000
 =
1893761
30000
 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 :
     
1893761
30000
 x =
373691
30000

    The coefficient of the unknown number is reduced to 1 :
      x =
373691
30000
 ÷
1893761
30000
        =
373691
30000
 ×
30000
1893761
        = 373691 ×
1
1893761

    We obtained :
      x =
373691
1893761
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.197327



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