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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-180)/1500 = (x-180)-(4000*0.08)/1000 .
    Question type: Equation
    Solution:Original question:
     ( x − 180) ÷ 1500 = ( x − 180) − (4000 ×
2
25
) ÷ 1000
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
1
1500
 − 180 ×
1
1500
                                             = x ×
1
1500
 −
3
25
    The equation is transformed into :
     
1
1500
 x −
3
25
 = ( x − 180) − (4000 ×
2
25
) ÷ 1000
    Remove the bracket on the right of the equation:
     Right side of the equation = x − 180 − (4000 ×
2
25
) ×
1
1000
                                               = x − 180 − 4000 ×
2
25
 ×
1
1000
                                               = x − 180 −
8
25
                                               = x −
4508
25
    The equation is transformed into :
     
1
1500
 x −
3
25
 = x −
4508
25

    Transposition :
     
1
1500
 x − x = -
4508
25
 +
3
25

    Combine the items on the left of the equation:
     - 
1499
1500
 x = -
4508
25
 +
3
25

    Combine the items on the right of the equation:
     - 
1499
1500
 x = -
901
5

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
901
5
 =
1499
1500
 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 :
     
1499
1500
 x =
901
5

    The coefficient of the unknown number is reduced to 1 :
      x =
901
5
 ÷
1499
1500
        =
901
5
 ×
1500
1499
        = 901 ×
300
1499

    We obtained :
      x =
270300
1499
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 180.320213



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