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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 (5*(483+X)+96+57+18+35)/(483+24+19+9+35+X) = 4.7 .
    Question type: Equation
    Solution:Original question:
     (5(483 + X ) + 96 + 57 + 18 + 35) ÷ (483 + 24 + 19 + 9 + 35 + X ) =
47
10
     Multiply both sides of the equation by:(483 + 24 + 19 + 9 + 35 + X )
     (5(483 + X ) + 96 + 57 + 18 + 35) =
47
10
(483 + 24 + 19 + 9 + 35 + X )
    Remove a bracket on the left of the equation::
     5(483 + X ) + 96 + 57 + 18 + 35 =
47
10
(483 + 24 + 19 + 9 + 35 + X )
    Remove a bracket on the right of the equation::
     5(483 + X ) + 96 + 57 + 18 + 35 =
47
10
× 483 +
47
10
× 24 +
47
10
× 19 +
47
10
× 9 +
47
10
× 35 +
47
10
X
    The equation is reduced to :
     5(483 + X ) + 96 + 57 + 18 + 35 =
22701
10
+
564
5
+
893
10
+
423
10
+
329
2
+
47
10
X
    The equation is reduced to :
     5(483 + X ) + 206 = 2679 +
47
10
X
    Remove a bracket on the left of the equation:
     5 × 483 + 5 X + 206 = 2679 +
47
10
X
    The equation is reduced to :
     2415 + 5 X + 206 = 2679 +
47
10
X
    The equation is reduced to :
     2621 + 5 X = 2679 +
47
10
X

    Transposition :
     5 X
47
10
X = 26792621

    Combine the items on the left of the equation:
     
3
10
X = 26792621

    Combine the items on the right of the equation:
     
3
10
X = 58

    The coefficient of the unknown number is reduced to 1 :
      X = 58 ÷
3
10
        = 58 ×
10
3

    We obtained :
      X =
580
3
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 193.333333



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