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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.
    It supports equations that contain mathematical functions.
    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 (1+0.5)*x÷2+(1+0.4)*(500-x)*0.9 = 120 .
    Question type: Equation
    Solution:Original question:
     (1 +
1
2
) x ÷ 2 + (1 +
2
5
)(500 − x ) ×
9
10
 = 120
    Remove the bracket on the left of the equation:
     Left side of the equation = 1 x ×
1
2
 +
1
2
 x ×
1
2
 + (1 +
2
5
)(500 − x ) ×
9
10
                                             =
1
2
 x +
1
4
 x + (1 +
2
5
)(500 − x ) ×
9
10
                                             =
3
4
 x + (1 +
2
5
)(500 − x ) ×
9
10
                                             =
3
4
 x + 1(500 − x ) ×
9
10
 +
2
5
(500 − x ) ×
9
10
                                             =
3
4
 x +
9
10
(500 − x ) +
9
25
(500 − x )
                                             =
3
4
 x +
9
10
 × 500 −
9
10
 x +
9
25
(500 − x )
                                             =
3
4
 x + 450 −
9
10
 x +
9
25
(500 − x )
                                             = -
3
20
 x + 450 +
9
25
(500 − x )
                                             = -
3
20
 x + 450 +
9
25
 × 500 −
9
25
 x
                                             = -
3
20
 x + 450 + 180 −
9
25
 x
                                             = -
51
100
 x + 630
    The equation is transformed into :
      -
51
100
 x + 630 = 120

    Transposition :
      -
51
100
 x = 120 − 630

    Combine the items on the right of the equation:
      -
51
100
 x = - 510

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     510 =
51
100
 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 :
     
51
100
 x = 510

    The coefficient of the unknown number is reduced to 1 :
      x = 510 ÷
51
100
        = 510 ×
100
51
        = 10 × 100

    We obtained :
      x = 1000
    This is the solution of the equation.



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