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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*(509+X)+116+75+20+31)/(509+28+25+10+31+X) = 4.7 .
    Question type: Equation
    Solution:Original question:
     (5(509 + X ) + 116 + 75 + 20 + 31) ÷ (509 + 28 + 25 + 10 + 31 + X ) =
47
10
     Multiply both sides of the equation by:(509 + 28 + 25 + 10 + 31 + X )
     (5(509 + X ) + 116 + 75 + 20 + 31) =
47
10
(509 + 28 + 25 + 10 + 31 + X )
    Remove a bracket on the left of the equation:：
     5(509 + X ) + 116 + 75 + 20 + 31 =
47
10
(509 + 28 + 25 + 10 + 31 + X )
    Remove a bracket on the right of the equation:：
     5(509 + X ) + 116 + 75 + 20 + 31 =
47
10
 × 509 +
47
10
 × 28 +
47
10
 × 25 +
47
10
 × 10 +
47
10
 × 31 +
47
10
 X
    The equation is reduced to :
     5(509 + X ) + 116 + 75 + 20 + 31 =
23923
10
 +
658
5
 +
235
2
 + 47 +
1457
10
 +
47
10
 X
    The equation is reduced to :
     5(509 + X ) + 242 =
28341
10
 +
47
10
 X
    Remove a bracket on the left of the equation:
     5 × 509 + 5 X + 242 =
28341
10
 +
47
10
 X
    The equation is reduced to :
     2545 + 5 X + 242 =
28341
10
 +
47
10
 X
    The equation is reduced to :
     2787 + 5 X =
28341
10
 +
47
10
 X

    Transposition :
     5 X −
47
10
 X =
28341
10
 − 2787

    Combine the items on the left of the equation:
     
3
10
 X =
28341
10
 − 2787

    Combine the items on the right of the equation:
     
3
10
 X =
471
10

    The coefficient of the unknown number is reduced to 1 :
      X =
471
10
 ÷
3
10
        =
471
10
 ×
10
3
        = 157 × 1

    We obtained :
      X = 157
    This is the solution of the equation.



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