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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 90+(x-180)*0.6+(460-x)*0.5 = 253.5 .
    Question type: Equation
    Solution:Original question:
     90 + ( x 180) ×
3
5
+ (460 x ) ×
1
2
=
507
2
    Remove the bracket on the left of the equation:
     Left side of the equation = 90 + x ×
3
5
180 ×
3
5
+ (460 x ) ×
1
2
                                             = 90 + x ×
3
5
108 + (460 x ) ×
1
2
                                             = - 18 +
3
5
x + (460 x ) ×
1
2
                                             = - 18 +
3
5
x + 460 ×
1
2
x ×
1
2
                                             = - 18 +
3
5
x + 230 x ×
1
2
                                             = 212 +
1
10
x
    The equation is transformed into :
     212 +
1
10
x =
507
2

    Transposition :
     
1
10
x =
507
2
212

    Combine the items on the right of the equation:
     
1
10
x =
83
2

    The coefficient of the unknown number is reduced to 1 :
      x =
83
2
÷
1
10
        =
83
2
× 10
        = 83 × 5

    We obtained :
      x = 415
    This is the solution of the equation.



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