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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 (1275*x/11)+3 = (20+x)*8400/43 .
    Question type: Equation
    Solution:Original question:
     (1275 x ÷ 11) + 3 = (20 + x ) × 8400 ÷ 43
    Remove the bracket on the left of the equation:
     Left side of the equation = 1275 x ÷ 11 + 3
                                             =
1275
11
x + 3
    The equation is transformed into :
     
1275
11
x + 3 = (20 + x ) × 8400 ÷ 43
     Right side of the equation = (20 + x ) ×
8400
43
    The equation is transformed into :
     
1275
11
x + 3 = (20 + x ) ×
8400
43
    Remove the bracket on the right of the equation:
     Right side of the equation = 20 ×
8400
43
+ x ×
8400
43
                                               =
168000
43
+ x ×
8400
43
    The equation is transformed into :
     
1275
11
x + 3 =
168000
43
+
8400
43
x

    Transposition :
     
1275
11
x
8400
43
x =
168000
43
3

    Combine the items on the left of the equation:
      -
37575
473
x =
168000
43
3

    Combine the items on the right of the equation:
      -
37575
473
x =
167871
43

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
167871
43
=
37575
473
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 :
     
37575
473
x = -
167871
43

    The coefficient of the unknown number is reduced to 1 :
      x = -
167871
43
÷
37575
473
        = -
167871
43
×
473
37575
        = - 55957 ×
11
12525

    We obtained :
      x = -
615527
12525
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 49.143872



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