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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*(5938.914+X)+4*626.648+3*291.961+2*106.815+1*156.662 = 4.8*(X+5938.914+626.648+291.961+106.815+156.662) .
    Question type: Equation
    Solution:Original question:
     5(
2969457
500
 + X ) + 4 ×
78331
125
 + 3 ×
291961
1000
 + 2 ×
21363
200
 + 1 ×
78331
500
 =
24
5
( X +
2969457
500
 +
78331
125
 +
291961
1000
 +
21363
200
 +
78331
500
)
     Left side of the equation = 5(
2969457
500
 + X ) +
313324
125
 +
875883
1000
 +
21363
100
 +
78331
500
                                             = 5(
2969457
500
 + X ) +
3752767
1000
    The equation is transformed into :
     5(
2969457
500
 + X ) +
3752767
1000
 =
24
5
( X +
2969457
500
 +
78331
125
 +
291961
1000
 +
21363
200
 +
78331
500
)
    Remove the bracket on the left of the equation:
     Left side of the equation = 5 ×
2969457
500
 + 5 X +
3752767
1000
                                             =
2969457
100
 + 5 X +
3752767
1000
                                             =
33447337
1000
 + 5 X
    The equation is transformed into :
     
33447337
1000
 + 5 X =
24
5
( X +
2969457
500
 +
78331
125
 +
291961
1000
 +
21363
200
 +
78331
500
)
    Remove the bracket on the right of the equation:
     Right side of the equation =
24
5
 X +
24
5
 ×
2969457
500
 +
24
5
 ×
78331
125
 +
24
5
 ×
291961
1000
 +
24
5
 ×
21363
200
 +
24
5
 ×
78331
500
                                               =
24
5
 X +
17816742
625
 +
1879944
625
 +
875883
625
 +
64089
125
 +
469986
625
                                               =
24
5
 X +
170904
5
    The equation is transformed into :
     
33447337
1000
 + 5 X =
24
5
 X +
170904
5

    Transposition :
     5 X −
24
5
 X =
170904
5
 −
33447337
1000

    Combine the items on the left of the equation:
     
1
5
 X =
170904
5
 −
33447337
1000

    Combine the items on the right of the equation:
     
1
5
 X =
733463
1000

    The coefficient of the unknown number is reduced to 1 :
      X =
733463
1000
 ÷
1
5
        =
733463
1000
 × 5
        =
733463
200
 × 1

    We obtained :
      X =
733463
200
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 3667.315



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