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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-3000*10%）*(1-25%）-4000*12%]/800 = [(x-3000*10%)*(1-25%)]/1000 .
    Question type: Equation
    Solution:Original question:
     (( x − 3000 ×
10
100
)(1 −
25
100
) − 4000 ×
12
100
) ÷ 800 = (( x − 3000 ×
10
100
)(1 −
25
100
)) ÷ 1000
    Remove the bracket on the left of the equation:
     Left side of the equation = ( x − 3000 ×
10
100
)(1 −
25
100
) ×
1
800
 − 4000 ×
12
100
 ×
1
800
                                             = ( x − 3000 ×
10
100
)(1 −
25
100
) ×
1
800
 −
3
5
                                             = x (1 −
25
100
) ×
1
800
 − 3000 ×
10
100
(1 −
25
100
) ×
1
800
 −
3
5
                                             = x (1 −
25
100
) ×
1
800
 −
3
8
(1 −
25
100
) −
3
5
                                             = x × 1 ×
1
800
 − x ×
25
100
 ×
1
800
 −
3
8
(1 −
25
100
) −
3
5
                                             = x ×
1
800
 − x ×
1
3200
 −
3
8
(1 −
25
100
) −
3
5
                                             =
3
3200
 x −
3
8
(1 −
25
100
) −
3
5
                                             =
3
3200
 x −
3
8
 × 1 +
3
8
 ×
25
100
 −
3
5
                                             =
3
3200
 x −
3
8
 +
3
32
 −
3
5
                                             =
3
3200
 x −
141
160
    The equation is transformed into :
     
3
3200
 x −
141
160
 = (( x − 3000 ×
10
100
)(1 −
25
100
)) ÷ 1000
    Remove the bracket on the right of the equation:
     Right side of the equation = ( x − 3000 ×
10
100
)(1 −
25
100
) ×
1
1000
                                               = x (1 −
25
100
) ×
1
1000
 − 3000 ×
10
100
(1 −
25
100
) ×
1
1000
                                               = x (1 −
25
100
) ×
1
1000
 −
3
10
(1 −
25
100
)
                                               = x × 1 ×
1
1000
 − x ×
25
100
 ×
1
1000
 −
3
10
(1 −
25
100
)
                                               = x ×
1
1000
 − x ×
1
4000
 −
3
10
(1 −
25
100
)
                                               =
3
4000
 x −
3
10
(1 −
25
100
)
                                               =
3
4000
 x −
3
10
 × 1 +
3
10
 ×
25
100
                                               =
3
4000
 x −
3
10
 +
3
40
                                               =
3
4000
 x −
9
40
    The equation is transformed into :
     
3
3200
 x −
141
160
 =
3
4000
 x −
9
40

    Transposition :
     
3
3200
 x −
3
4000
 x = -
9
40
 +
141
160

    Combine the items on the left of the equation:
     
3
16000
 x = -
9
40
 +
141
160

    Combine the items on the right of the equation:
     
3
16000
 x =
21
32

    The coefficient of the unknown number is reduced to 1 :
      x =
21
32
 ÷
3
16000
        =
21
32
 ×
16000
3
        = 7 × 500

    We obtained :
      x = 3500
    This is the solution of the equation.



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