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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 12 = (44+x)/24+0.4x/18 .
    Question type: Equation
    Solution:Original question:
     12 = (44 + x ) ÷ 24 +
2
5
x ÷ 18
     Right side of the equation = (44 + x ) ×
1
24
+
1
45
x
    The equation is transformed into :
     12 = (44 + x ) ×
1
24
+
1
45
x
    Remove the bracket on the right of the equation:
     Right side of the equation = 44 ×
1
24
+ x ×
1
24
+
1
45
x
                                               =
11
6
+ x ×
1
24
+
1
45
x
                                               =
11
6
+
23
360
x
    The equation is transformed into :
     12 =
11
6
+
23
360
x

    Transposition :
      -
23
360
x =
11
6
12

    Combine the items on the right of the equation:
      -
23
360
x = -
61
6

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
61
6
=
23
360
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 :
     
23
360
x =
61
6

    The coefficient of the unknown number is reduced to 1 :
      x =
61
6
÷
23
360
        =
61
6
×
360
23
        = 61 ×
60
23

    We obtained :
      x =
3660
23
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 159.130435



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