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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 9╱8(3╱2X+500)+400 = 2X .
    Question type: Equation
    Solution:Original question:
     9 ÷ 8 × (3 ÷ 2 × X + 500) + 400 = 2 X
     Left side of the equation =
9
8
(3 ÷ 2 × X + 500) + 400
    The equation is transformed into :
     
9
8
(3 ÷ 2 × X + 500) + 400 = 2 X
    Remove the bracket on the left of the equation:
     Left side of the equation =
9
8
× 3 ÷ 2 × X +
9
8
× 500 + 400
                                             =
27
16
X +
1125
2
+ 400
                                             =
27
16
X +
1925
2
    The equation is transformed into :
     
27
16
X +
1925
2
= 2 X

    Transposition :
     
27
16
X 2 X = -
1925
2

    Combine the items on the left of the equation:
      -
5
16
X = -
1925
2

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
1925
2
=
5
16
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 :
     
5
16
X =
1925
2

    The coefficient of the unknown number is reduced to 1 :
      X =
1925
2
÷
5
16
        =
1925
2
×
16
5
        = 385 × 8

    We obtained :
      X = 3080
    This is the solution of the equation.



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