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On line Solution of Monovariate Equation：
    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 180×0.55+0.6（x-180）+180×0.55+0.6×（400-180）+0.85×(800-x-400) = 487 .
    Question type: Equation
    Solution:Original question:
     180 ×
11
20
 +
3
5
( x − 180) + 180 ×
11
20
 +
3
5
(400 − 180) +
17
20
(800 − x − 400) = 487
     Left side of the equation = 99 +
3
5
( x − 180) + 99 +
3
5
(400 − 180) +
17
20
(800 − x − 400)
                                             = 198 +
3
5
( x − 180) +
3
5
(400 − 180) +
17
20
(800 − x − 400)
    The equation is transformed into :
     198 +
3
5
( x − 180) +
3
5
(400 − 180) +
17
20
(800 − x − 400) = 487
    Remove the bracket on the left of the equation:
     Left side of the equation = 198 +
3
5
 x −
3
5
 × 180 +
3
5
(400 − 180) +
17
20
(800 − x − 400)
                                             = 198 +
3
5
 x − 108 +
3
5
(400 − 180) +
17
20
(800 − x − 400)
                                             = 90 +
3
5
 x +
3
5
(400 − 180) +
17
20
(800 − x − 400)
                                             = 90 +
3
5
 x +
3
5
 × 400 −
3
5
 × 180 +
17
20
(800 − x − 400)
                                             = 90 +
3
5
 x + 240 − 108 +
17
20
(800 − x − 400)
                                             = 222 +
3
5
 x +
17
20
(800 − x − 400)
                                             = 222 +
3
5
 x +
17
20
 × 800 −
17
20
 x −
17
20
 × 400
                                             = 222 +
3
5
 x + 680 −
17
20
 x − 340
                                             = 562 −
1
4
 x
    The equation is transformed into :
     562 −
1
4
 x = 487

    Transposition :
      -
1
4
 x = 487 − 562

    Combine the items on the right of the equation:
      -
1
4
 x = - 75

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     75 =
1
4
 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
4
 x = 75

    The coefficient of the unknown number is reduced to 1 :
      x = 75 ÷
1
4
        = 75 × 4

    We obtained :
      x = 300
    This is the solution of the equation.



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