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[ 1/1 Equation]
    Work: Find the solution of equation 10000 = X-((X/(1+1%)-(X/(1+1%)*1%*7%*50%))*20%*80%)-(X/(1+1%)*1%)-(X/(1+1%)*1%*7%*50%) .
    Question type: Equation
    Solution:Original question:
     10000 = X − (( X ÷ (1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)) ×
20
100
 ×
80
100
) − ( X ÷ (1 +
1
100
) ×
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)
    Remove a bracket on the right of the equation:：
     10000 = X − ( X ÷ (1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)) ×
20
100
 ×
80
100
 − ( X ÷ (1 +
1
100
) ×
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)
    The equation is reduced to :
     10000 = X − ( X ÷ (1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)) ×
4
25
 − ( X ÷ (1 +
1
100
) ×
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)
    Remove a bracket on the right of the equation:：
     10000 = X − X ÷ (1 +
1
100
) ×
4
25
 + ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
) ×
4
25
 − ( X ÷ (1 +
1
100
) ×
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)
     Multiply both sides of the equation by:(1 +
1
100
)
     10000(1 +
1
100
) = X (1 +
1
100
) − X ×
4
25
 + ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
) ×
4
25
(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
)(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)(1 +
1
100
)
    Remove a bracket on the left of the equation:
     10000 × 1 + 10000 ×
1
100
 = X (1 +
1
100
) − X ×
4
25
 + ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
) ×
4
25
(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
)(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)(1 +
1
100
)
    Remove a bracket on the right of the equation:：
     10000 × 1 + 10000 ×
1
100
 = X × 1 + X ×
1
100
 − X ×
4
25
 + ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
) ×
4
25
(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
)(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)
    The equation is reduced to :
     10000 + 100 = X × 1 + X ×
1
100
 − X ×
4
25
 + ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
) ×
4
25
(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
)(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)
    The equation is reduced to :
     10100 =
17
20
 X + ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
) ×
4
25
(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
)(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)(1 +
1
100
)
    Remove a bracket on the right of the equation:：
     10100 =
17
20
 X + X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
 ×
4
25
(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
)(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)
    The equation is reduced to :
     10100 =
17
20
 X + X ÷ (1 +
1
100
) ×
7
125000
(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
)(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)(1 +
1
100
)
     Multiply both sides of the equation by:(1 +
1
100
)
     10100(1 +
1
100
) =
17
20
 X (1 +
1
100
) + X ×
7
125000
(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
)(1 +
1
100
)(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)(1 +
1
100
)(1 +
1
100
)
    Remove a bracket on the left of the equation:
     10100 × 1 + 10100 ×
1
100
 =
17
20
 X (1 +
1
100
) + X ×
7
125000
(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
)(1 +
1
100
)(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)(1 +
1
100
)(1 +
1
100
)
    Remove a bracket on the right of the equation:：
     10100 × 1 + 10100 ×
1
100
 =
17
20
 X × 1 +
17
20
 X ×
1
100
 + X ×
7
125000
(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
)(1 +
1
100
)(1 +
1
100
)
    The equation is reduced to :
     10100 + 101 =
17
20
 X +
17
2000
 X + X ×
7
125000
(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
)(1 +
1
100
)(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)(1 +
1
100
)
    The equation is reduced to :
     10201 =
1717
2000
 X + X ×
7
125000
(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
)(1 +
1
100
)(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)(1 +
1
100
)(1 +
1
100
)
    Remove a bracket on the right of the equation:：
     10201 =
1717
2000
 X + X ×
7
125000
 × 1 + X ×
7
125000
 ×
1
100
 − ( X ÷ (1 +
1
100
) ×
1
100
)(1 +
1
100
)(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)
    The equation is reduced to :
     10201 =
1717
2000
 X + X ×
7
125000
 + X ×
7
12500000
 − ( X ÷ (1 +
1
100
) ×
1
100
)(1 +
1
100
)(1 +
1
100
) − ( X ÷ (1 +
1
100
) ×
1
100
 ×
7
100
 ×
50
100
)(1 +
1
100
)(1 +
1
100
)

    
        X≈12028.019331 , 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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