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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*(527+X)+96+57+14+34)/(527+24+19+7+34+X) = 4.7 .
    Question type: Equation
    Solution:Original question:
     (5(527 + X ) + 96 + 57 + 14 + 34) ÷ (527 + 24 + 19 + 7 + 34 + X ) =
47
10
     Multiply both sides of the equation by:(527 + 24 + 19 + 7 + 34 + X )
     (5(527 + X ) + 96 + 57 + 14 + 34) =
47
10
(527 + 24 + 19 + 7 + 34 + X )
    Remove a bracket on the left of the equation::
     5(527 + X ) + 96 + 57 + 14 + 34 =
47
10
(527 + 24 + 19 + 7 + 34 + X )
    Remove a bracket on the right of the equation::
     5(527 + X ) + 96 + 57 + 14 + 34 =
47
10
× 527 +
47
10
× 24 +
47
10
× 19 +
47
10
× 7 +
47
10
× 34 +
47
10
X
    The equation is reduced to :
     5(527 + X ) + 96 + 57 + 14 + 34 =
24769
10
+
564
5
+
893
10
+
329
10
+
799
5
+
47
10
X
    The equation is reduced to :
     5(527 + X ) + 201 =
28717
10
+
47
10
X
    Remove a bracket on the left of the equation:
     5 × 527 + 5 X + 201 =
28717
10
+
47
10
X
    The equation is reduced to :
     2635 + 5 X + 201 =
28717
10
+
47
10
X
    The equation is reduced to :
     2836 + 5 X =
28717
10
+
47
10
X

    Transposition :
     5 X
47
10
X =
28717
10
2836

    Combine the items on the left of the equation:
     
3
10
X =
28717
10
2836

    Combine the items on the right of the equation:
     
3
10
X =
357
10

    The coefficient of the unknown number is reduced to 1 :
      X =
357
10
÷
3
10
        =
357
10
×
10
3
        = 119 × 1

    We obtained :
      X = 119
    This is the solution of the equation.



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