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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-180)*(1-25%)/1500 = (X-180-320)*(1-25%)/1000 .
    Question type: Equation
    Solution:Original question:
     ( X − 180)(1 −
25
100
) ÷ 1500 = ( X − 180 − 320)(1 −
25
100
) ÷ 1000
    Remove the bracket on the left of the equation:
     Left side of the equation = X (1 −
25
100
) ×
1
1500
 − 180(1 −
25
100
) ×
1
1500
                                             = X (1 −
25
100
) ×
1
1500
 −
3
25
(1 −
25
100
)
                                             = X × 1 ×
1
1500
 − X ×
25
100
 ×
1
1500
 −
3
25
(1 −
25
100
)
                                             = X ×
1
1500
 − X ×
1
6000
 −
3
25
(1 −
25
100
)
                                             =
1
2000
 X −
3
25
(1 −
25
100
)
                                             =
1
2000
 X −
3
25
 × 1 +
3
25
 ×
25
100
                                             =
1
2000
 X −
3
25
 +
3
100
                                             =
1
2000
 X −
9
100
    The equation is transformed into :
     
1
2000
 X −
9
100
 = ( X − 180 − 320)(1 −
25
100
) ÷ 1000
    Remove the bracket on the right of the equation:
     Right side of the equation = X (1 −
25
100
) ×
1
1000
 − 180(1 −
25
100
) ×
1
1000
 − 320(1 −
25
100
) ×
1
1000
                                               = X (1 −
25
100
) ×
1
1000
 −
9
50
(1 −
25
100
) −
8
25
(1 −
25
100
)
                                               = X × 1 ×
1
1000
 − X ×
25
100
 ×
1
1000
 −
9
50
(1 −
25
100
) −
8
25
(1 −
25
100
)
                                               = X ×
1
1000
 − X ×
1
4000
 −
9
50
(1 −
25
100
) −
8
25
(1 −
25
100
)
                                               =
3
4000
 X −
9
50
(1 −
25
100
) −
8
25
(1 −
25
100
)
                                               =
3
4000
 X −
9
50
 × 1 +
9
50
 ×
25
100
 −
8
25
(1 −
25
100
)
                                               =
3
4000
 X −
9
50
 +
9
200
 −
8
25
(1 −
25
100
)
                                               =
3
4000
 X −
27
200
 −
8
25
(1 −
25
100
)
                                               =
3
4000
 X −
27
200
 −
8
25
 × 1 +
8
25
 ×
25
100
                                               =
3
4000
 X −
27
200
 −
8
25
 +
2
25
                                               =
3
4000
 X −
3
8
    The equation is transformed into :
     
1
2000
 X −
9
100
 =
3
4000
 X −
3
8

    Transposition :
     
1
2000
 X −
3
4000
 X = -
3
8
 +
9
100

    Combine the items on the left of the equation:
      -
1
4000
 X = -
3
8
 +
9
100

    Combine the items on the right of the equation:
      -
1
4000
 X = -
57
200

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
57
200
 =
1
4000
 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 :
     
1
4000
 X =
57
200

    The coefficient of the unknown number is reduced to 1 :
      X =
57
200
 ÷
1
4000
        =
57
200
 × 4000
        = 57 × 20

    We obtained :
      X = 1140
    This is the solution of the equation.



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