Mathematics
         
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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 75×7.87+12.15x = (75+x)×7.98 .
    Question type: Equation
    Solution:Original question:
     75 ×
787
100
+
243
20
x = (75 + x ) ×
399
50
     Left side of the equation =
2361
4
+
243
20
x
    The equation is transformed into :
     
2361
4
+
243
20
x = (75 + x ) ×
399
50
    Remove the bracket on the right of the equation:
     Right side of the equation = 75 ×
399
50
+ x ×
399
50
                                               =
1197
2
+ x ×
399
50
    The equation is transformed into :
     
2361
4
+
243
20
x =
1197
2
+
399
50
x

    Transposition :
     
243
20
x
399
50
x =
1197
2
2361
4

    Combine the items on the left of the equation:
     
417
100
x =
1197
2
2361
4

    Combine the items on the right of the equation:
     
417
100
x =
33
4

    The coefficient of the unknown number is reduced to 1 :
      x =
33
4
÷
417
100
        =
33
4
×
100
417
        = 11 ×
25
139

    We obtained :
      x =
275
139
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 1.978417



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