Mathematics
         
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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 (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:
     (
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 = (
2969457
500
+ X ) +
313324
125
+
875883
1000
+
21363
100
+
78331
500
                                             = (
2969457
500
+ X ) +
3752767
1000
    The equation is transformed into :
     (
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 =
2969457
500
+ X +
3752767
1000
                                             =
9691681
1000
+ X
    The equation is transformed into :
     
9691681
1000
+ 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 :
     
9691681
1000
+ X =
24
5
X +
170904
5

    Transposition :
      X
24
5
X =
170904
5
9691681
1000

    Combine the items on the left of the equation:
      -
19
5
X =
170904
5
9691681
1000

    Combine the items on the right of the equation:
      -
19
5
X =
24489119
1000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
24489119
1000
=
19
5
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 :
     
19
5
X = -
24489119
1000

    The coefficient of the unknown number is reduced to 1 :
      X = -
24489119
1000
÷
19
5
        = -
24489119
1000
×
5
19
        = -
1288901
200
× 1

    We obtained :
      X = -
1288901
200
    This is the solution of the equation.

    Convert the result to decimal form :
      X = - 6444.505



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