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On line Solution of Monovariate Equation：
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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*（0.9-0.4）-（400+200+1200）]*（1-25%） = 2640 .
    Question type: Equation
    Solution:Original question:
     ( X (
9
10
 −
2
5
) − (400 + 200 + 1200))(1 −
25
100
) = 2640
    Remove the bracket on the left of the equation:
     Left side of the equation = X (
9
10
 −
2
5
)(1 −
25
100
) − (400 + 200 + 1200)(1 −
25
100
)
                                             = X ×
9
10
(1 −
25
100
) − X ×
2
5
(1 −
25
100
) − (400 + 200 + 1200)(1 −
25
100
)
                                             = X ×
9
10
 × 1 − X ×
9
10
 ×
25
100
 − X ×
2
5
(1 −
25
100
) − (400 + 200 + 1200)(1 −
25
100
)
                                             = X ×
9
10
 − X ×
9
40
 − X ×
2
5
(1 −
25
100
) − (400 + 200 + 1200)(1 −
25
100
)
                                             =
27
40
 X − X ×
2
5
(1 −
25
100
) − (400 + 200 + 1200)(1 −
25
100
)
                                             =
27
40
 X − X ×
2
5
 × 1 + X ×
2
5
 ×
25
100
 − (400 + 200 + 1200)(1 −
25
100
)
                                             =
27
40
 X − X ×
2
5
 + X ×
1
10
 − (400 + 200 + 1200)(1 −
25
100
)
                                             =
3
8
 X − (400 + 200 + 1200)(1 −
25
100
)
                                             =
3
8
 X − 400(1 −
25
100
) − 200(1 −
25
100
) − 1200(1 −
25
100
)
                                             =
3
8
 X − 400 × 1 + 400 ×
25
100
 − 200(1 −
25
100
) − 1200(1 −
25
100
)
                                             =
3
8
 X − 400 + 100 − 200(1 −
25
100
) − 1200(1 −
25
100
)
                                             =
3
8
 X − 300 − 200(1 −
25
100
) − 1200(1 −
25
100
)
                                             =
3
8
 X − 300 − 200 × 1 + 200 ×
25
100
 − 1200(1 −
25
100
)
                                             =
3
8
 X − 300 − 200 + 50 − 1200(1 −
25
100
)
                                             =
3
8
 X − 450 − 1200(1 −
25
100
)
                                             =
3
8
 X − 450 − 1200 × 1 + 1200 ×
25
100
                                             =
3
8
 X − 450 − 1200 + 300
                                             =
3
8
 X − 1350
    The equation is transformed into :
     
3
8
 X − 1350 = 2640

    Transposition :
     
3
8
 X = 2640 + 1350

    Combine the items on the right of the equation:
     
3
8
 X = 3990

    The coefficient of the unknown number is reduced to 1 :
      X = 3990 ÷
3
8
        = 3990 ×
8
3
        = 1330 × 8

    We obtained :
      X = 10640
    This is the solution of the equation.



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