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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-62）*（1-33%）-100*15%】/25 = 【（x-12）*（1-33%）-100*15%】/50 .
    Question type: Equation
    Solution:Original question:
     (( x − 62)(1 −
33
100
) − 100 ×
15
100
) ÷ 25 = (( x − 12)(1 −
33
100
) − 100 ×
15
100
) ÷ 50
    Remove the bracket on the left of the equation:
     Left side of the equation = ( x − 62)(1 −
33
100
) ×
1
25
 − 100 ×
15
100
 ×
1
25
                                             = ( x − 62)(1 −
33
100
) ×
1
25
 −
3
5
                                             = x (1 −
33
100
) ×
1
25
 − 62(1 −
33
100
) ×
1
25
 −
3
5
                                             = x (1 −
33
100
) ×
1
25
 −
62
25
(1 −
33
100
) −
3
5
                                             = x × 1 ×
1
25
 − x ×
33
100
 ×
1
25
 −
62
25
(1 −
33
100
) −
3
5
                                             = x ×
1
25
 − x ×
33
2500
 −
62
25
(1 −
33
100
) −
3
5
                                             =
67
2500
 x −
62
25
(1 −
33
100
) −
3
5
                                             =
67
2500
 x −
62
25
 × 1 +
62
25
 ×
33
100
 −
3
5
                                             =
67
2500
 x −
62
25
 +
1023
1250
 −
3
5
                                             =
67
2500
 x −
2827
1250
    The equation is transformed into :
     
67
2500
 x −
2827
1250
 = (( x − 12)(1 −
33
100
) − 100 ×
15
100
) ÷ 50
    Remove the bracket on the right of the equation:
     Right side of the equation = ( x − 12)(1 −
33
100
) ×
1
50
 − 100 ×
15
100
 ×
1
50
                                               = ( x − 12)(1 −
33
100
) ×
1
50
 −
3
10
                                               = x (1 −
33
100
) ×
1
50
 − 12(1 −
33
100
) ×
1
50
 −
3
10
                                               = x (1 −
33
100
) ×
1
50
 −
6
25
(1 −
33
100
) −
3
10
                                               = x × 1 ×
1
50
 − x ×
33
100
 ×
1
50
 −
6
25
(1 −
33
100
) −
3
10
                                               = x ×
1
50
 − x ×
33
5000
 −
6
25
(1 −
33
100
) −
3
10
                                               =
67
5000
 x −
6
25
(1 −
33
100
) −
3
10
                                               =
67
5000
 x −
6
25
 × 1 +
6
25
 ×
33
100
 −
3
10
                                               =
67
5000
 x −
6
25
 +
99
1250
 −
3
10
                                               =
67
5000
 x −
288
625
    The equation is transformed into :
     
67
2500
 x −
2827
1250
 =
67
5000
 x −
288
625

    Transposition :
     
67
2500
 x −
67
5000
 x = -
288
625
 +
2827
1250

    Combine the items on the left of the equation:
     
67
5000
 x = -
288
625
 +
2827
1250

    Combine the items on the right of the equation:
     
67
5000
 x =
2251
1250

    The coefficient of the unknown number is reduced to 1 :
      x =
2251
1250
 ÷
67
5000
        =
2251
1250
 ×
5000
67
        = 2251 ×
4
67

    We obtained :
      x =
9004
67
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 134.38806



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