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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 5*(x+230)/1430+x = (5*x/1200+x)+20% .
    Question type: Equation
    Solution:Original question:
     5( x + 230) ÷ 1430 + x = (5 x ÷ 1200 + x ) +
20
100
     Left side of the equation =
1
286
( x + 230) + x
    The equation is transformed into :
     
1
286
( x + 230) + x = (5 x ÷ 1200 + x ) +
20
100
    Remove the bracket on the left of the equation:
     Left side of the equation =
1
286
 x +
1
286
 × 230 + x
                                             =
1
286
 x +
115
143
 + x
                                             =
287
286
 x +
115
143
    The equation is transformed into :
     
287
286
 x +
115
143
 = (5 x ÷ 1200 + x ) +
20
100
    Remove the bracket on the right of the equation:
     Right side of the equation = 5 x ÷ 1200 + x +
20
100
                                               =
1
240
 x + x +
20
100
                                               =
241
240
 x +
20
100
    The equation is transformed into :
     
287
286
 x +
115
143
 =
241
240
 x +
20
100

    Transposition :
     
287
286
 x −
241
240
 x =
20
100
 −
115
143

    Combine the items on the left of the equation:
      -
23
34320
 x =
20
100
 −
115
143

    Combine the items on the right of the equation:
      -
23
34320
 x = -
432
715

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
432
715
 =
23
34320
 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 :
     
23
34320
 x =
432
715

    The coefficient of the unknown number is reduced to 1 :
      x =
432
715
 ÷
23
34320
        =
432
715
 ×
34320
23
        = 432 ×
48
23

    We obtained :
      x =
20736
23
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 901.565217



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