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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－1000×6%－2000×7％）×（1－25％）/1000 = （X－1000×6%）×（1－25％）/（1000＋200） .
    Question type: Equation
    Solution:Original question:
     ( X − 1000 ×
6
100
 − 2000 ×
7
100
)(1 −
25
100
) ÷ 1000 = ( X − 1000 ×
6
100
)(1 −
25
100
) ÷ (1000 + 200)
     Multiply both sides of the equation by:(1000 + 200)
     ( X − 1000 ×
6
100
 − 2000 ×
7
100
)(1 −
25
100
) ÷ 1000 × (1000 + 200) = ( X − 1000 ×
6
100
)(1 −
25
100
)
    Remove a bracket on the left of the equation:：
      X (1 −
25
100
) ÷ 1000 × (1000 + 200) − 1000 ×
6
100
(1 −
25
100
) ÷ 1000 × (1000 + 200) − 2000 ×
7
100
(1 −
25
100
) = ( X − 1000 ×
6
100
)(1 −
25
100
)
    Remove a bracket on the right of the equation:：
      X (1 −
25
100
) ÷ 1000 × (1000 + 200) − 1000 ×
6
100
(1 −
25
100
) ÷ 1000 × (1000 + 200) − 2000 ×
7
100
(1 −
25
100
) = X (1 −
25
100
) − 1000 ×
6
100
(1 −
25
100
)
    The equation is reduced to :
      X (1 −
25
100
) ×
1
1000
(1000 + 200) −
3
50
(1 −
25
100
)(1000 + 200) −
7
50
(1 −
25
100
)(1000 + 200) = X (1 −
25
100
) − 60(1 −
25
100
)
    Remove a bracket on the left of the equation:
      X × 1 ×
1
1000
(1000 + 200) − X ×
25
100
 ×
1
1000
(1000 + 200) −
3
50
(1 −
25
100
)(1000 + 200) −
7
50
 = X (1 −
25
100
) − 60(1 −
25
100
)
    Remove a bracket on the right of the equation:：
      X × 1 ×
1
1000
(1000 + 200) − X ×
25
100
 ×
1
1000
(1000 + 200) −
3
50
(1 −
25
100
)(1000 + 200) −
7
50
 = X × 1 − X ×
25
100
 − 60(1 −
25
100
)
    The equation is reduced to :
      X ×
1
1000
(1000 + 200) − X ×
1
4000
(1000 + 200) −
3
50
(1 −
25
100
)(1000 + 200) −
7
50
(1 −
25
100
)(1000 + 200) = X × 1 − X ×
25
100
 − 60(1 −
25
100
)
    The equation is reduced to :
      X ×
1
1000
(1000 + 200) − X ×
1
4000
(1000 + 200) −
3
50
(1 −
25
100
)(1000 + 200) −
7
50
(1 −
25
100
)(1000 + 200) =
3
4
 X − 60(1 −
25
100
)
    Remove a bracket on the left of the equation:
      X ×
1
1000
 × 1000 + X ×
1
1000
 × 200 − X ×
1
4000
(1000 + 200) −
3
50
(1 −
25
100
)(1000 + 200) =
3
4
 X − 60(1 −
25
100
)
    Remove a bracket on the right of the equation:：
      X ×
1
1000
 × 1000 + X ×
1
1000
 × 200 − X ×
1
4000
(1000 + 200) −
3
50
(1 −
25
100
)(1000 + 200) =
3
4
 X − 60 × 1 + 60 ×
25
100
    The equation is reduced to :
      X × 1 + X ×
1
5
 − X ×
1
4000
(1000 + 200) −
3
50
(1 −
25
100
)(1000 + 200) −
7
50
(1 −
25
100
) =
3
4
 X − 60 + 15
    The equation is reduced to :
     
6
5
 X − X ×
1
4000
(1000 + 200) −
3
50
(1 −
25
100
)(1000 + 200) −
7
50
(1 −
25
100
)(1000 + 200) =
3
4
 X − 45
    Remove a bracket on the left of the equation:
     
6
5
 X − X ×
1
4000
 × 1000 − X ×
1
4000
 × 200 −
3
50
(1 −
25
100
)(1000 + 200) −
7
50
 =
3
4
 X − 45
    The equation is reduced to :
     
6
5
 X − X ×
1
4
 − X ×
1
20
 −
3
50
(1 −
25
100
)(1000 + 200) −
7
50
(1 −
25
100
)(1000 + 200) =
3
4
 X − 45
    The equation is reduced to :
     
9
10
 X −
3
50
(1 −
25
100
)(1000 + 200) −
7
50
(1 −
25
100
)(1000 + 200) =
3
4
 X − 45
    Remove a bracket on the left of the equation:
     
9
10
 X −
3
50
 × 1(1000 + 200) +
3
50
 ×
25
100
(1000 + 200) −
7
50
(1 −
25
100
)(1000 + 200) =
3
4
 X − 45
    The equation is reduced to :
     
9
10
 X −
3
50
(1000 + 200) +
3
200
(1000 + 200) −
7
50
(1 −
25
100
)(1000 + 200) =
3
4
 X − 45
    Remove a bracket on the left of the equation:
     
9
10
 X −
3
50
 × 1000 −
3
50
 × 200 +
3
200
(1000 + 200) −
7
50
(1 −
25
100
)(1000 + 200) =
3
4
 X − 45
    The equation is reduced to :
     
9
10
 X − 60 − 12 +
3
200
(1000 + 200) −
7
50
(1 −
25
100
)(1000 + 200) =
3
4
 X − 45
    The equation is reduced to :
     
9
10
 X − 72 +
3
200
(1000 + 200) −
7
50
(1 −
25
100
)(1000 + 200) =
3
4
 X − 45
    Remove a bracket on the left of the equation:
     
9
10
 X − 72 +
3
200
 × 1000 +
3
200
 × 200 −
7
50
(1 −
25
100
)(1000 + 200) =
3
4
 X − 45
    The equation is reduced to :
     
9
10
 X − 72 + 15 + 3 −
7
50
(1 −
25
100
)(1000 + 200) =
3
4
 X − 45
    The equation is reduced to :
     
9
10
 X − 54 −
7
50
(1 −
25
100
)(1000 + 200) =
3
4
 X − 45
    Remove a bracket on the left of the equation:
     
9
10
 X − 54 −
7
50
 × 1(1000 + 200) +
7
50
 ×
25
100
(1000 + 200) =
3
4
 X − 45

    
        X=200    
    There are 1 solution(s).

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