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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*(37+x)+4*6+1*4+3*4+2*1)/(53+x) = 4.4 .
    Question type: Equation
    Solution:Original question:
     (5(37 + x ) + 4 × 6 + 1 × 4 + 3 × 4 + 2 × 1) ÷ (53 + x ) =
22
5
     Multiply both sides of the equation by:(53 + x )
     (5(37 + x ) + 4 × 6 + 1 × 4 + 3 × 4 + 2 × 1) =
22
5
(53 + x )
    Remove a bracket on the left of the equation::
     5(37 + x ) + 4 × 6 + 1 × 4 + 3 × 4 + 2 × 1 =
22
5
(53 + x )
    Remove a bracket on the right of the equation::
     5(37 + x ) + 4 × 6 + 1 × 4 + 3 × 4 + 2 × 1 =
22
5
× 53 +
22
5
x
    The equation is reduced to :
     5(37 + x ) + 24 + 4 + 12 + 2 =
1166
5
+
22
5
x
    The equation is reduced to :
     5(37 + x ) + 42 =
1166
5
+
22
5
x
    Remove a bracket on the left of the equation:
     5 × 37 + 5 x + 42 =
1166
5
+
22
5
x
    The equation is reduced to :
     185 + 5 x + 42 =
1166
5
+
22
5
x
    The equation is reduced to :
     227 + 5 x =
1166
5
+
22
5
x

    Transposition :
     5 x
22
5
x =
1166
5
227

    Combine the items on the left of the equation:
     
3
5
x =
1166
5
227

    Combine the items on the right of the equation:
     
3
5
x =
31
5

    The coefficient of the unknown number is reduced to 1 :
      x =
31
5
÷
3
5
        =
31
5
×
5
3
        = 31 ×
1
3

    We obtained :
      x =
31
3
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 10.333333



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