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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 ((1/3000)+(1/2000)+(1000))*3x = (6x/2000)+(10/1000) .
    Question type: Equation
    Solution:Original question:
     ((1 ÷ 3000) + (1 ÷ 2000) + (1000)) × 3 x = (6 x ÷ 2000) + (10 ÷ 1000)
    Remove the bracket on the left of the equation:
     Left side of the equation = (1 ÷ 3000) × 3 x + (1 ÷ 2000) × 3 x + (1000) × 3 x
                                             = 1 ÷ 3000 × 3 x + (1 ÷ 2000) × 3 x + (1000) × 3 x
                                             =
1
1000
x + (1 ÷ 2000) × 3 x + (1000) × 3 x
                                             =
1
1000
x + 1 ÷ 2000 × 3 x + (1000) × 3 x
                                             =
1
1000
x +
3
2000
x + (1000) × 3 x
                                             =
1
400
x + (1000) × 3 x
                                             =
1
400
x + 1000 × 3 x
                                             =
1
400
x + 3000 x
                                             =
1200001
400
x
    The equation is transformed into :
     
1200001
400
x = (6 x ÷ 2000) + (10 ÷ 1000)
    Remove the bracket on the right of the equation:
     Right side of the equation = 6 x ÷ 2000 + (10 ÷ 1000)
                                               =
3
1000
x + (10 ÷ 1000)
                                               =
3
1000
x + 10 ÷ 1000
                                               =
3
1000
x +
1
100
    The equation is transformed into :
     
1200001
400
x =
3
1000
x +
1
100

    Transposition :
     
1200001
400
x
3
1000
x =
1
100

    Combine the items on the left of the equation:
     
5999999
2000
x =
1
100

    The coefficient of the unknown number is reduced to 1 :
      x =
1
100
÷
5999999
2000
        =
1
100
×
2000
5999999
        = 1 ×
20
5999999

    We obtained :
      x =
20
5999999
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.000003



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