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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 （38-30）/（40-30） = （X-0.0785)/(0.0655-0.0785) .
    Question type: Equation
    Solution:Original question:
     (38 − 30) ÷ (40 − 30) = ( X −
157
2000
) ÷ (
131
2000
 −
157
2000
)
     Multiply both sides of the equation by:(40 − 30) ,  (
131
2000
 −
157
2000
)
     (38 − 30)(
131
2000
 −
157
2000
) = ( X −
157
2000
)(40 − 30)
    Remove a bracket on the left of the equation:：
     38(
131
2000
 −
157
2000
) − 30(
131
2000
 −
157
2000
) = ( X −
157
2000
)(40 − 30)
    Remove a bracket on the right of the equation:：
     38(
131
2000
 −
157
2000
) − 30(
131
2000
 −
157
2000
) = X (40 − 30) −
157
2000
(40 − 30)
    Remove a bracket on the left of the equation:
     38 ×
131
2000
 − 38 ×
157
2000
 − 30(
131
2000
 −
157
2000
) = X (40 − 30) −
157
2000
(40 − 30)
    Remove a bracket on the right of the equation:：
     38 ×
131
2000
 − 38 ×
157
2000
 − 30(
131
2000
 −
157
2000
) = X × 40 − X × 30 −
157
2000
(40 − 30)
    The equation is reduced to :
     
2489
1000
 −
2983
1000
 − 30(
131
2000
 −
157
2000
) = X × 40 − X × 30 −
157
2000
(40 − 30)
    The equation is reduced to :
      -
247
500
 − 30(
131
2000
 −
157
2000
) = 10 X −
157
2000
(40 − 30)
    Remove a bracket on the left of the equation:
      -
247
500
 − 30 ×
131
2000
 + 30 ×
157
2000
 = 10 X −
157
2000
(40 − 30)
    Remove a bracket on the right of the equation:：
      -
247
500
 − 30 ×
131
2000
 + 30 ×
157
2000
 = 10 X −
157
2000
 × 40 +
157
2000
 × 30
    The equation is reduced to :
      -
247
500
 −
393
200
 +
471
200
 = 10 X −
157
50
 +
471
200
    The equation is reduced to :
      -
13
125
 = 10 X −
157
200

    Transposition :
      - 10 X = -
157
200
 +
13
125

    Combine the items on the right of the equation:
      - 10 X = -
681
1000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
681
1000
 = 10 X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     10 X =
681
1000

    The coefficient of the unknown number is reduced to 1 :
      X =
681
1000
 ÷ 10
        =
681
1000
 ×
1
10

    We obtained :
      X =
681
10000
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 0.0681



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