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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 (3892+x)/72743-0.0515 = (11338-x)/(76635+x)-0.09673 .
    Question type: Equation
    Solution:Original question:
     (3892 + x ) ÷ 72743
103
2000
= (11338 x ) ÷ (76635 + x )
9673
100000
     Multiply both sides of the equation by:(76635 + x )
     (3892 + x ) ÷ 72743 × (76635 + x )
103
2000
(76635 + x ) = (11338 x )
9673
100000
(76635 + x )
    Remove a bracket on the left of the equation::
     3892 ÷ 72743 × (76635 + x ) + x ÷ 72743 × (76635 + x )
103
2000
(76635 + x ) = (11338 x )
9673
100000
(76635 + x )
    Remove a bracket on the right of the equation::
     3892 ÷ 72743 × (76635 + x ) + x ÷ 72743 × (76635 + x )
103
2000
(76635 + x ) = 11338 x
9673
100000
(76635 + x )
    The equation is reduced to :
     
3892
72743
(76635 + x ) + x ×
1
72743
(76635 + x )
103
2000
(76635 + x ) = 11338 x
9673
100000
(76635 + x )
    Remove a bracket on the left of the equation:
     
3892
72743
× 76635 +
3892
72743
x + x ×
1
72743
(76635 + x )
103
2000
(76635 + x ) = 11338 x
9673
100000
(76635 + x )
    Remove a bracket on the right of the equation::
     
3892
72743
× 76635 +
3892
72743
x + x ×
1
72743
(76635 + x )
103
2000
(76635 + x ) = 11338 x
9673
100000
× 76635
9673
100000
x
    The equation is reduced to :
     
298263420
72743
+
3892
72743
x + x ×
1
72743
(76635 + x )
103
2000
(76635 + x ) = 11338 x
148258071
20000
9673
100000
x
    The equation is reduced to :
     
298263420
72743
+
3892
72743
x + x ×
1
72743
(76635 + x )
103
2000
(76635 + x ) =
78501929
20000
109673
100000
x
    Remove a bracket on the left of the equation:
     
298263420
72743
+
3892
72743
x + x ×
1
72743
× 76635 + x ×
1
72743
x
103
2000
(76635 + x ) =
78501929
20000
109673
100000
x
    The equation is reduced to :
     
298263420
72743
+
3892
72743
x + x ×
76635
72743
+ x ×
1
72743
x
103
2000
(76635 + x ) =
78501929
20000
109673
100000
x
    The equation is reduced to :
     
298263420
72743
+
80527
72743
x + x ×
1
72743
x
103
2000
(76635 + x ) =
78501929
20000
109673
100000
x
    Remove a bracket on the left of the equation:
     
298263420
72743
+
80527
72743
x + x ×
1
72743
x
103
2000
× 76635
103
2000
x =
78501929
20000
109673
100000
x
    The equation is reduced to :
     
298263420
72743
+
80527
72743
x + x ×
1
72743
x
1578681
400
103
2000
x =
78501929
20000
109673
100000
x
    The equation is reduced to :
     
4467376017
29097200
+
153561471
145486000
x + x ×
1
72743
x =
78501929
20000
109673
100000
x

    
        x≈1733.204932 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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