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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 35（202.5*x-1500）+15（36.4*75-2500） = 90000*0.085 .
    Question type: Equation
    Solution:Original question:
     35(
405
2
 x − 1500) + 15(
182
5
 × 75 − 2500) = 90000 ×
17
200
    Remove the bracket on the left of the equation:
     Left side of the equation = 35 ×
405
2
 x − 35 × 1500 + 15(
182
5
 × 75 − 2500)
                                             =
14175
2
 x − 52500 + 15(
182
5
 × 75 − 2500)
                                             =
14175
2
 x − 52500 + 15 ×
182
5
 × 75 − 15 × 2500
                                             =
14175
2
 x − 52500 + 40950 − 37500
                                             =
14175
2
 x − 49050
    The equation is transformed into :
     
14175
2
 x − 49050 = 90000 ×
17
200
     Right side of the equation = 7650
    The equation is transformed into :
     
14175
2
 x − 49050 = 7650

    Transposition :
     
14175
2
 x = 7650 + 49050

    Combine the items on the right of the equation:
     
14175
2
 x = 56700

    The coefficient of the unknown number is reduced to 1 :
      x = 56700 ÷
14175
2
        = 56700 ×
2
14175
        = 4 × 2

    We obtained :
      x = 8
    This is the solution of the equation.



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