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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 3.5x+5.5(4217-x) = 22065.5 .
    Question type: Equation
    Solution:Original question:
     
7
2
x +
11
2
(4217 x ) =
44131
2
    Remove the bracket on the left of the equation:
     Left side of the equation =
7
2
x +
11
2
× 4217
11
2
x
                                             =
7
2
x +
46387
2
11
2
x
                                             = - 2 x +
46387
2
    The equation is transformed into :
      - 2 x +
46387
2
=
44131
2

    Transposition :
      - 2 x =
44131
2
46387
2

    Combine the items on the right of the equation:
      - 2 x = - 1128

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     1128 = 2 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 :
     2 x = 1128

    The coefficient of the unknown number is reduced to 1 :
      x = 1128 ÷ 2
        = 1128 ×
1
2
        = 564 × 1

    We obtained :
      x = 564
    This is the solution of the equation.



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