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    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
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    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－5%）/（6%－5%） = （1051.19－1077.2）/（1000.00－1077.2） .
    Question type: Equation
    Solution:Original question:
     ( x −
5
100
) ÷ (
6
100
 −
5
100
) = (
105119
100
 −
5386
5
) ÷ (1000 −
5386
5
)
     Multiply both sides of the equation by:(
6
100
 −
5
100
) ,  (1000 −
5386
5
)
     ( x −
5
100
)(1000 −
5386
5
) = (
105119
100
 −
5386
5
)(
6
100
 −
5
100
)
    Remove a bracket on the left of the equation:：
      x (1000 −
5386
5
) −
5
100
(1000 −
5386
5
) = (
105119
100
 −
5386
5
)(
6
100
 −
5
100
)
    Remove a bracket on the right of the equation:：
      x (1000 −
5386
5
) −
5
100
(1000 −
5386
5
) =
105119
100
(
6
100
 −
5
100
) −
5386
5
(
6
100
 −
5
100
)
    Remove a bracket on the left of the equation:
      x × 1000 − x ×
5386
5
 −
5
100
(1000 −
5386
5
) =
105119
100
(
6
100
 −
5
100
) −
5386
5
(
6
100
 −
5
100
)
    Remove a bracket on the right of the equation:：
      x × 1000 − x ×
5386
5
 −
5
100
(1000 −
5386
5
) =
105119
100
 ×
6
100
 −
105119
100
 ×
5
100
 −
5386
5
(
6
100
 −
5
100
)
    The equation is reduced to :
      x × 1000 − x ×
5386
5
 −
5
100
(1000 −
5386
5
) =
315357
5000
 −
105119
2000
 −
5386
5
(
6
100
 −
5
100
)
    The equation is reduced to :
      -
386
5
 x −
5
100
(1000 −
5386
5
) =
105119
10000
 −
5386
5
(
6
100
 −
5
100
)
    Remove a bracket on the left of the equation:
      -
386
5
 x −
5
100
 × 1000 +
5
100
 ×
5386
5
 =
105119
10000
 −
5386
5
(
6
100
 −
5
100
)
    Remove a bracket on the right of the equation:：
      -
386
5
 x −
5
100
 × 1000 +
5
100
 ×
5386
5
 =
105119
10000
 −
5386
5
 ×
6
100
 +
5386
5
 ×
5
100
    The equation is reduced to :
      -
386
5
 x − 50 +
2693
50
 =
105119
10000
 −
8079
125
 +
2693
50
    The equation is reduced to :
      -
386
5
 x +
193
50
 = -
2601
10000

    Transposition :
      -
386
5
 x = -
2601
10000
 −
193
50

    Combine the items on the right of the equation:
      -
386
5
 x = -
41201
10000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
41201
10000
 =
386
5
 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 :
     
386
5
 x =
41201
10000

    The coefficient of the unknown number is reduced to 1 :
      x =
41201
10000
 ÷
386
5
        =
41201
10000
 ×
5
386
        =
41201
2000
 ×
1
386

    We obtained :
      x =
41201
772000
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.053369



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