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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 1.5x+x+{(1.5x+x)/2-280} = 5000 .
    Question type: Equation
    Solution:Original question:
     
3
2
x + x + ((
3
2
x + x ) ÷ 2280) = 5000
     Left side of the equation =
5
2
x + ((
3
2
x + x ) ÷ 2280)
    The equation is transformed into :
     
5
2
x + ((
3
2
x + x ) ÷ 2280) = 5000
    Remove the bracket on the left of the equation:
     Left side of the equation =
5
2
x + (
3
2
x + x ) ÷ 2280
                                             =
5
2
x +
3
2
x ×
1
2
+ x ×
1
2
280
                                             =
5
2
x +
3
4
x + x ×
1
2
280
                                             =
15
4
x 280
    The equation is transformed into :
     
15
4
x 280 = 5000

    Transposition :
     
15
4
x = 5000 + 280

    Combine the items on the right of the equation:
     
15
4
x = 5280

    The coefficient of the unknown number is reduced to 1 :
      x = 5280 ÷
15
4
        = 5280 ×
4
15
        = 352 × 4

    We obtained :
      x = 1408
    This is the solution of the equation.



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