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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 [(x-15)*10+(x-12.5)*40]/(15*10+12.5*40)*100% = 20% .
    Question type: Equation
    Solution:Original question:
     (( x − 15) × 10 + ( x −
25
2
) × 40) ÷ (15 × 10 +
25
2
 × 40) ×
100
100
 =
20
100
     Multiply both sides of the equation by:(15 × 10 +
25
2
 × 40)
     (( x − 15) × 10 + ( x −
25
2
) × 40) ×
100
100
 =
20
100
(15 × 10 +
25
2
 × 40)
    Remove a bracket on the left of the equation:：
     ( x − 15) × 10 ×
100
100
 + ( x −
25
2
) × 40 ×
100
100
 =
20
100
(15 × 10 +
25
2
 × 40)
    Remove a bracket on the right of the equation:：
     ( x − 15) × 10 ×
100
100
 + ( x −
25
2
) × 40 ×
100
100
 =
20
100
 × 15 × 10 +
20
100
 ×
25
2
 × 40
    The equation is reduced to :
     ( x − 15) × 10 + ( x −
25
2
) × 40 = 30 + 100
    The equation is reduced to :
     ( x − 15) × 10 + ( x −
25
2
) × 40 = 130
    Remove a bracket on the left of the equation:
      x × 10 − 15 × 10 + ( x −
25
2
) × 40 = 130
    The equation is reduced to :
      x × 10 − 150 + ( x −
25
2
) × 40 = 130
    Remove a bracket on the left of the equation:
     10 x − 150 + x × 40 −
25
2
 × 40 = 130
    The equation is reduced to :
     10 x − 150 + x × 40 − 500 = 130
    The equation is reduced to :
     50 x − 650 = 130

    Transposition :
     50 x = 130 + 650

    Combine the items on the right of the equation:
     50 x = 780

    The coefficient of the unknown number is reduced to 1 :
      x = 780 ÷ 50
        = 780 ×
1
50
        = 78 ×
1
5

    We obtained :
      x =
78
5
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 15.6



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