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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 4/3-8x = 3-(11/2)x .
    Question type: Equation
    Solution:Original question:
     4 ÷ 38 x = 3(11 ÷ 2) x
     Left side of the equation =
4
3
8 x
    The equation is transformed into :
     
4
3
8 x = 3(11 ÷ 2) x
    Remove the bracket on the right of the equation:
     Right side of the equation = 311 ÷ 2 × x
                                               = 3
11
2
x
    The equation is transformed into :
     
4
3
8 x = 3
11
2
x

    Transposition :
      - 8 x +
11
2
x = 3
4
3

    Combine the items on the left of the equation:
      -
5
2
x = 3
4
3

    Combine the items on the right of the equation:
      -
5
2
x =
5
3

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
5
3
=
5
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 :
     
5
2
x = -
5
3

    The coefficient of the unknown number is reduced to 1 :
      x = -
5
3
÷
5
2
        = -
5
3
×
2
5
        = -
1
3
× 2

    We obtained :
      x = -
2
3
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 0.666667



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