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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 ((6114+x)*5+941*4+504*3+113*2+212*1)/(7904+x) = 4.7 .
    Question type: Equation
    Solution:Original question:
     ((6114 + x ) × 5 + 941 × 4 + 504 × 3 + 113 × 2 + 212 × 1) ÷ (7904 + x ) =
47
10
     Multiply both sides of the equation by:(7904 + x )
     ((6114 + x ) × 5 + 941 × 4 + 504 × 3 + 113 × 2 + 212 × 1) =
47
10
(7904 + x )
    Remove a bracket on the left of the equation::
     (6114 + x ) × 5 + 941 × 4 + 504 × 3 + 113 × 2 + 212 × 1 =
47
10
(7904 + x )
    Remove a bracket on the right of the equation::
     (6114 + x ) × 5 + 941 × 4 + 504 × 3 + 113 × 2 + 212 × 1 =
47
10
× 7904 +
47
10
x
    The equation is reduced to :
     (6114 + x ) × 5 + 3764 + 1512 + 226 + 212 =
185744
5
+
47
10
x
    The equation is reduced to :
     (6114 + x ) × 5 + 5714 =
185744
5
+
47
10
x
    Remove a bracket on the left of the equation:
     6114 × 5 + x × 5 + 5714 =
185744
5
+
47
10
x
    The equation is reduced to :
     30570 + x × 5 + 5714 =
185744
5
+
47
10
x
    The equation is reduced to :
     36284 + 5 x =
185744
5
+
47
10
x

    Transposition :
     5 x
47
10
x =
185744
5
36284

    Combine the items on the left of the equation:
     
3
10
x =
185744
5
36284

    Combine the items on the right of the equation:
     
3
10
x =
4324
5

    The coefficient of the unknown number is reduced to 1 :
      x =
4324
5
÷
3
10
        =
4324
5
×
10
3
        = 4324 ×
2
3

    We obtained :
      x =
8648
3
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 2882.666667



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