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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+35)/(509+28+25+10+35+X) = 4.7 .
    Question type: Equation
    Solution:Original question:
     (5(509 + X ) + 116 + 75 + 20 + 35) ÷ (509 + 28 + 25 + 10 + 35 + X ) =
47
10
     Multiply both sides of the equation by:(509 + 28 + 25 + 10 + 35 + X )
     (5(509 + X ) + 116 + 75 + 20 + 35) =
47
10
(509 + 28 + 25 + 10 + 35 + X )
    Remove a bracket on the left of the equation:：
     5(509 + X ) + 116 + 75 + 20 + 35 =
47
10
(509 + 28 + 25 + 10 + 35 + X )
    Remove a bracket on the right of the equation:：
     5(509 + X ) + 116 + 75 + 20 + 35 =
47
10
 × 509 +
47
10
 × 28 +
47
10
 × 25 +
47
10
 × 10 +
47
10
 × 35 +
47
10
 X
    The equation is reduced to :
     5(509 + X ) + 116 + 75 + 20 + 35 =
23923
10
 +
658
5
 +
235
2
 + 47 +
329
2
 +
47
10
 X
    The equation is reduced to :
     5(509 + X ) + 246 =
28529
10
 +
47
10
 X
    Remove a bracket on the left of the equation:
     5 × 509 + 5 X + 246 =
28529
10
 +
47
10
 X
    The equation is reduced to :
     2545 + 5 X + 246 =
28529
10
 +
47
10
 X
    The equation is reduced to :
     2791 + 5 X =
28529
10
 +
47
10
 X

    Transposition :
     5 X −
47
10
 X =
28529
10
 − 2791

    Combine the items on the left of the equation:
     
3
10
 X =
28529
10
 − 2791

    Combine the items on the right of the equation:
     
3
10
 X =
619
10

    The coefficient of the unknown number is reduced to 1 :
      X =
619
10
 ÷
3
10
        =
619
10
 ×
10
3
        = 619 ×
1
3

    We obtained :
      X =
619
3
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 206.333333



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