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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 (x-10)/300 = (15-x)/240 .
    Question type: Equation
    Solution:Original question:
     ( x 10) ÷ 300 = (15 x ) ÷ 240
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
1
300
10 ×
1
300
                                             = x ×
1
300
1
30
    The equation is transformed into :
     
1
300
x
1
30
= (15 x ) ÷ 240
    Remove the bracket on the right of the equation:
     Right side of the equation = 15 ×
1
240
x ×
1
240
                                               =
1
16
x ×
1
240
    The equation is transformed into :
     
1
300
x
1
30
=
1
16
1
240
x

    Transposition :
     
1
300
x +
1
240
x =
1
16
+
1
30

    Combine the items on the left of the equation:
     
3
400
x =
1
16
+
1
30

    Combine the items on the right of the equation:
     
3
400
x =
23
240

    The coefficient of the unknown number is reduced to 1 :
      x =
23
240
÷
3
400
        =
23
240
×
400
3
        =
23
3
×
5
3

    We obtained :
      x =
115
9
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 12.777778



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