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    Input any unary equation directly, and then click the "Next" button to obtain the solution of the 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-24）*（1-25%）/14 = （x-24-16）*（1-25%）/10 .
    Question type: Equation
    Solution:Original question:
     ( x − 24)(1 −
25
100
) ÷ 14 = ( x − 24 − 16)(1 −
25
100
) ÷ 10
    Remove the bracket on the left of the equation:
     Left side of the equation = x (1 −
25
100
) ×
1
14
 − 24(1 −
25
100
) ×
1
14
                                             = x (1 −
25
100
) ×
1
14
 −
12
7
(1 −
25
100
)
                                             = x × 1 ×
1
14
 − x ×
25
100
 ×
1
14
 −
12
7
(1 −
25
100
)
                                             = x ×
1
14
 − x ×
1
56
 −
12
7
(1 −
25
100
)
                                             =
3
56
 x −
12
7
(1 −
25
100
)
                                             =
3
56
 x −
12
7
 × 1 +
12
7
 ×
25
100
                                             =
3
56
 x −
12
7
 +
3
7
                                             =
3
56
 x −
9
7
    The equation is transformed into :
     
3
56
 x −
9
7
 = ( x − 24 − 16)(1 −
25
100
) ÷ 10
    Remove the bracket on the right of the equation:
     Right side of the equation = x (1 −
25
100
) ×
1
10
 − 24(1 −
25
100
) ×
1
10
 − 16(1 −
25
100
) ×
1
10
                                               = x (1 −
25
100
) ×
1
10
 −
12
5
(1 −
25
100
) −
8
5
(1 −
25
100
)
                                               = x × 1 ×
1
10
 − x ×
25
100
 ×
1
10
 −
12
5
(1 −
25
100
) −
8
5
(1 −
25
100
)
                                               = x ×
1
10
 − x ×
1
40
 −
12
5
(1 −
25
100
) −
8
5
(1 −
25
100
)
                                               =
3
40
 x −
12
5
(1 −
25
100
) −
8
5
(1 −
25
100
)
                                               =
3
40
 x −
12
5
 × 1 +
12
5
 ×
25
100
 −
8
5
(1 −
25
100
)
                                               =
3
40
 x −
12
5
 +
3
5
 −
8
5
(1 −
25
100
)
                                               =
3
40
 x −
9
5
 −
8
5
(1 −
25
100
)
                                               =
3
40
 x −
9
5
 −
8
5
 × 1 +
8
5
 ×
25
100
                                               =
3
40
 x −
9
5
 −
8
5
 +
2
5
                                               =
3
40
 x − 3
    The equation is transformed into :
     
3
56
 x −
9
7
 =
3
40
 x − 3

    Transposition :
     
3
56
 x −
3
40
 x = - 3 +
9
7

    Combine the items on the left of the equation:
      -
3
140
 x = - 3 +
9
7

    Combine the items on the right of the equation:
      -
3
140
 x = -
12
7

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
12
7
 =
3
140
 x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
3
140
 x =
12
7

    The coefficient of the unknown number is reduced to 1 :
      x =
12
7
 ÷
3
140
        =
12
7
 ×
140
3
        = 4 × 20

    We obtained :
      x = 80
    This is the solution of the equation.



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