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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 55.2+64+（21－x）*4.3 = （50+24+6.5x）/1.5 .
    Question type: Equation
    Solution:Original question:
     
276
5
 + 64 + (21 − x ) ×
43
10
 = (50 + 24 +
13
2
 x ) ÷
3
2
     Left side of the equation =
596
5
 + (21 − x ) ×
43
10
    The equation is transformed into :
     
596
5
 + (21 − x ) ×
43
10
 = (50 + 24 +
13
2
 x ) ÷
3
2
    Remove the bracket on the left of the equation:
     Left side of the equation =
596
5
 + 21 ×
43
10
 − x ×
43
10
                                             =
596
5
 +
903
10
 − x ×
43
10
                                             =
419
2
 −
43
10
 x
    The equation is transformed into :
     
419
2
 −
43
10
 x = (50 + 24 +
13
2
 x ) ÷
3
2
    Remove the bracket on the right of the equation:
     Right side of the equation = 50 ×
2
3
 + 24 ×
2
3
 +
13
2
 x ×
2
3
                                               =
100
3
 + 16 +
13
3
 x
                                               =
148
3
 +
13
3
 x
    The equation is transformed into :
     
419
2
 −
43
10
 x =
148
3
 +
13
3
 x

    Transposition :
      -
43
10
 x −
13
3
 x =
148
3
 −
419
2

    Combine the items on the left of the equation:
      -
259
30
 x =
148
3
 −
419
2

    Combine the items on the right of the equation:
      -
259
30
 x = -
961
6

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
961
6
 =
259
30
 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 :
     
259
30
 x =
961
6

    The coefficient of the unknown number is reduced to 1 :
      x =
961
6
 ÷
259
30
        =
961
6
 ×
30
259
        = 961 ×
5
259

    We obtained :
      x =
4805
259
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 18.552124



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