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    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-(0.13*x-126)*0.1-(x-467.56-(0.13*x-126))*0.25 = 343.22 .
    Question type: Equation
    Solution:Original question:
      x (
13
100
x 126) ×
1
10
( x
11689
25
(
13
100
x 126)) ×
1
4
=
17161
50
    Remove the bracket on the left of the equation:
     Left side of the equation = x
13
100
x ×
1
10
+ 126 ×
1
10
( x
11689
25
(
13
100
x 126)) ×
1
4
                                             = x
13
1000
x +
63
5
( x
11689
25
(
13
100
x 126)) ×
1
4
                                             =
987
1000
x +
63
5
( x
11689
25
(
13
100
x 126)) ×
1
4
                                             =
987
1000
x +
63
5
x ×
1
4
+
11689
25
×
1
4
+ (
13
100
x 126) ×
1
4
                                             =
987
1000
x +
63
5
x ×
1
4
+
11689
100
+ (
13
100
x 126) ×
1
4
                                             =
737
1000
x +
12949
100
+ (
13
100
x 126) ×
1
4
                                             =
737
1000
x +
12949
100
+
13
100
x ×
1
4
126 ×
1
4
                                             =
737
1000
x +
12949
100
+
13
400
x
63
2
                                             =
1539
2000
x +
9799
100
    The equation is transformed into :
     
1539
2000
x +
9799
100
=
17161
50

    Transposition :
     
1539
2000
x =
17161
50
9799
100

    Combine the items on the right of the equation:
     
1539
2000
x =
24523
100

    The coefficient of the unknown number is reduced to 1 :
      x =
24523
100
÷
1539
2000
        =
24523
100
×
2000
1539
        = 24523 ×
20
1539

    We obtained :
      x =
490460
1539
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 318.687459



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