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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 X-1/2(3X-2) = 2(5-X) .
    Question type: Equation
    Solution:Original question:
      X 1 ÷ 2 × (3 X 2) = 2(5 X )
     Left side of the equation = X
1
2
(3 X 2)
    The equation is transformed into :
      X
1
2
(3 X 2) = 2(5 X )
    Remove the bracket on the left of the equation:
     Left side of the equation = X
1
2
× 3 X +
1
2
× 2
                                             = X
3
2
X + 1
                                             = -
1
2
X + 1
    The equation is transformed into :
      -
1
2
X + 1 = 2(5 X )
    Remove the bracket on the right of the equation:
     Right side of the equation = 2 × 52 X
                                               = 102 X
    The equation is transformed into :
      -
1
2
X + 1 = 102 X

    Transposition :
      -
1
2
X + 2 X = 101

    Combine the items on the left of the equation:
     
3
2
X = 101

    Combine the items on the right of the equation:
     
3
2
X = 9

    The coefficient of the unknown number is reduced to 1 :
      X = 9 ÷
3
2
        = 9 ×
2
3
        = 3 × 2

    We obtained :
      X = 6
    This is the solution of the equation.



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