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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 (78-75.3)/(0.3-0.4) = (78-x)/(0.3-0.2727) .
    Question type: Equation
    Solution:Original question:
     (78 −
753
10
) ÷ (
3
10
 −
2
5
) = (78 − x ) ÷ (
3
10
 −
2727
10000
)
     Multiply both sides of the equation by:(
3
10
 −
2
5
) ,  (
3
10
 −
2727
10000
)
     (78 −
753
10
)(
3
10
 −
2727
10000
) = (78 − x )(
3
10
 −
2
5
)
    Remove a bracket on the left of the equation:：
     78(
3
10
 −
2727
10000
) −
753
10
(
3
10
 −
2727
10000
) = (78 − x )(
3
10
 −
2
5
)
    Remove a bracket on the right of the equation:：
     78(
3
10
 −
2727
10000
) −
753
10
(
3
10
 −
2727
10000
) = 78(
3
10
 −
2
5
) − x (
3
10
 −
2
5
)
    Remove a bracket on the left of the equation:
     78 ×
3
10
 − 78 ×
2727
10000
 −
753
10
(
3
10
 −
2727
10000
) = 78(
3
10
 −
2
5
) − x (
3
10
 −
2
5
)
    Remove a bracket on the right of the equation:：
     78 ×
3
10
 − 78 ×
2727
10000
 −
753
10
(
3
10
 −
2727
10000
) = 78 ×
3
10
 − 78 ×
2
5
 − x (
3
10
 −
2
5
)
    The equation is reduced to :
     
117
5
 −
106353
5000
 −
753
10
(
3
10
 −
2727
10000
) =
117
5
 −
156
5
 − x (
3
10
 −
2
5
)
    The equation is reduced to :
     
10647
5000
 −
753
10
(
3
10
 −
2727
10000
) = -
39
5
 − x (
3
10
 −
2
5
)
    Remove a bracket on the left of the equation:
     
10647
5000
 −
753
10
 ×
3
10
 +
753
10
 ×
2727
10000
 = -
39
5
 − x (
3
10
 −
2
5
)
    Remove a bracket on the right of the equation:：
     
10647
5000
 −
753
10
 ×
3
10
 +
753
10
 ×
2727
10000
 = -
39
5
 − x ×
3
10
 + x ×
2
5
    The equation is reduced to :
     
10647
5000
 −
2259
100
 +
2053431
100000
 = -
39
5
 − x ×
3
10
 + x ×
2
5
    The equation is reduced to :
     
7371
100000
 = -
39
5
 +
1
10
 x

    Transposition :
      -
1
10
 x = -
39
5
 −
7371
100000

    Combine the items on the right of the equation:
      -
1
10
 x = -
787371
100000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
787371
100000
 =
1
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 :
     
1
10
 x =
787371
100000

    The coefficient of the unknown number is reduced to 1 :
      x =
787371
100000
 ÷
1
10
        =
787371
100000
 × 10
        =
787371
10000
 × 1

    We obtained :
      x =
787371
10000
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 78.7371



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