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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-1000×8%)×(1-25%)]/(4500+1000) = [X-(1000×8%+2500×10%)]×(1-25%)/4500 .
    Question type: Equation
    Solution:Original question:
     (( X − 1000 ×
8
100
)(1 −
25
100
)) ÷ (4500 + 1000) = ( X − (1000 ×
8
100
 + 2500 ×
10
100
))(1 −
25
100
) ÷ 4500
     Multiply both sides of the equation by:(4500 + 1000)
     (( X − 1000 ×
8
100
)(1 −
25
100
)) = ( X − (1000 ×
8
100
 + 2500 ×
10
100
))(1 −
25
100
) ÷ 4500 × (4500 + 1000)
    Remove a bracket on the left of the equation:：
     ( X − 1000 ×
8
100
)(1 −
25
100
) = ( X − (1000 ×
8
100
 + 2500 ×
10
100
))(1 −
25
100
) ÷ 4500 × (4500 + 1000)
    Remove a bracket on the right of the equation:：
     ( X − 1000 ×
8
100
)(1 −
25
100
) = X (1 −
25
100
) ÷ 4500 × (4500 + 1000) − (1000 ×
8
100
 + 2500 ×
10
100
)(1 −
25
100
) ÷ 4500 × (4500 + 1000)
    Remove a bracket on the left of the equation:
      X (1 −
25
100
) − 1000 ×
8
100
(1 −
25
100
) = X (1 −
25
100
) ×
1
4500
(4500 + 1000) − (1000 ×
8
100
 + 2500 ×
10
100
)(1 −
25
100
) ×
1
4500
(4500 + 1000)
    Remove a bracket on the right of the equation:：
      X (1 −
25
100
) − 1000 ×
8
100
(1 −
25
100
) = X × 1 ×
1
4500
(4500 + 1000) − X ×
25
100
 ×
1
4500
(4500 + 1000) − (1000 ×
8
100
 + 2500 ×
10
100
)(1 −
25
100
) ×
1
4500
(4500 + 1000)
    The equation is reduced to :
      X (1 −
25
100
) − 80(1 −
25
100
) = X ×
1
4500
(4500 + 1000) − X ×
1
18000
(4500 + 1000) − (1000 ×
8
100
 + 2500 ×
10
100
)(1 −
25
100
) ×
1
4500
(4500 + 1000)
    Remove a bracket on the left of the equation:
      X × 1 − X ×
25
100
 − 80(1 −
25
100
) = X ×
1
4500
(4500 + 1000) − X ×
1
18000
(4500 + 1000) − (1000 ×
8
100
 + 2500 ×
10
100
)(1 −
25
100
) ×
1
4500
(4500 + 1000)
    Remove a bracket on the right of the equation:：
      X × 1 − X ×
25
100
 − 80(1 −
25
100
) = X ×
1
4500
 × 4500 + X ×
1
4500
 × 1000 − X ×
1
18000
(4500 + 1000) − (1000 ×
8
100
 + 2500 ×
10
100
)(1 −
25
100
) ×
1
4500
    The equation is reduced to :
      X × 1 − X ×
25
100
 − 80(1 −
25
100
) = X × 1 + X ×
2
9
 − X ×
1
18000
(4500 + 1000) − (1000 ×
8
100
 + 2500 ×
10
100
)(1 −
25
100
) ×
1
4500
(4500 + 1000)
    The equation is reduced to :
     
3
4
 X − 80(1 −
25
100
) =
11
9
 X − X ×
1
18000
(4500 + 1000) − (1000 ×
8
100
 + 2500 ×
10
100
)(1 −
25
100
) ×
1
4500
(4500 + 1000)
    Remove a bracket on the left of the equation:
     
3
4
 X − 80 × 1 + 80 ×
25
100
 =
11
9
 X − X ×
1
18000
(4500 + 1000) − (1000 ×
8
100
 + 2500 ×
10
100
)(1 −
25
100
) ×
1
4500
(4500 + 1000)
    Remove a bracket on the right of the equation:：
     
3
4
 X − 80 × 1 + 80 ×
25
100
 =
11
9
 X − X ×
1
18000
 × 4500 − X ×
1
18000
 × 1000 − (1000 ×
8
100
 + 2500 ×
10
100
)(1 −
25
100
) ×
1
4500
(4500 + 1000)
    The equation is reduced to :
     
3
4
 X − 80 + 20 =
11
9
 X − X ×
1
4
 − X ×
1
18
 − (1000 ×
8
100
 + 2500 ×
10
100
)(1 −
25
100
) ×
1
4500
(4500 + 1000)
    The equation is reduced to :
     
3
4
 X − 60 =
11
12
 X − (1000 ×
8
100
 + 2500 ×
10
100
)(1 −
25
100
) ×
1
4500
(4500 + 1000)
    Remove a bracket on the right of the equation:：
     
3
4
 X − 60 =
11
12
 X − 1000 ×
8
100
(1 −
25
100
) ×
1
4500
(4500 + 1000) − 2500 ×
10
100
(1 −
25
100
) ×
1
4500
(4500 + 1000)
    The equation is reduced to :
     
3
4
 X − 60 =
11
12
 X −
4
225
(1 −
25
100
)(4500 + 1000) −
1
18
(1 −
25
100
)(4500 + 1000)
    Remove a bracket on the right of the equation:：
     
3
4
 X − 60 =
11
12
 X −
4
225
 × 1(4500 + 1000) +
4
225
 ×
25
100
(4500 + 1000) −
1
18
(1 −
25
100
)(4500 + 1000)
    The equation is reduced to :
     
3
4
 X − 60 =
11
12
 X −
4
225
(4500 + 1000) +
1
225
(4500 + 1000) −
1
18
(1 −
25
100
)(4500 + 1000)
    Remove a bracket on the right of the equation:：
     
3
4
 X − 60 =
11
12
 X −
4
225
 × 4500 −
4
225
 × 1000 +
1
225
(4500 + 1000) −
1
18
(1 −
25
100
)(4500 + 1000)
    The equation is reduced to :
     
3
4
 X − 60 =
11
12
 X − 80 −
160
9
 +
1
225
(4500 + 1000) −
1
18
(1 −
25
100
)(4500 + 1000)
    The equation is reduced to :
     
3
4
 X − 60 =
11
12
 X −
880
9
 +
1
225
(4500 + 1000) −
1
18
(1 −
25
100
)(4500 + 1000)
    Remove a bracket on the right of the equation:：
     
3
4
 X − 60 =
11
12
 X −
880
9
 +
1
225
 × 4500 +
1
225
 × 1000 −
1
18
(1 −
25
100
)(4500 + 1000)
    The equation is reduced to :
     
3
4
 X − 60 =
11
12
 X −
880
9
 + 20 +
40
9
 −
1
18
(1 −
25
100
)(4500 + 1000)
    The equation is reduced to :
     
3
4
 X − 60 =
11
12
 X −
220
3
 −
1
18
(1 −
25
100
)(4500 + 1000)

    This equation is an identity!


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