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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 8%*（1-x）/(70%-15%)-8%*(1-x) = 10% .
    Question type: Equation
    Solution:Original question:
     
8
100
(1 − x ) ÷ (
70
100
 −
15
100
) −
8
100
(1 − x ) =
10
100
     Multiply both sides of the equation by:(
70
100
 −
15
100
)
     
8
100
(1 − x ) −
8
100
(1 − x )(
70
100
 −
15
100
) =
10
100
(
70
100
 −
15
100
)
    Remove a bracket on the left of the equation:：
     
8
100
 × 1 −
8
100
 x −
8
100
(1 − x )(
70
100
 −
15
100
) =
10
100
(
70
100
 −
15
100
)
    Remove a bracket on the right of the equation:：
     
8
100
 × 1 −
8
100
 x −
8
100
(1 − x )(
70
100
 −
15
100
) =
10
100
 ×
70
100
 −
10
100
 ×
15
100
    The equation is reduced to :
     
2
25
 −
8
100
 x −
8
100
(1 − x )(
70
100
 −
15
100
) =
7
100
 −
3
200
    The equation is reduced to :
     
2
25
 −
8
100
 x −
8
100
(1 − x )(
70
100
 −
15
100
) =
11
200
    Remove a bracket on the left of the equation:
     
2
25
 −
8
100
 x −
8
100
 × 1(
70
100
 −
15
100
) +
8
100
 x (
70
100
 −
15
100
) =
11
200
    The equation is reduced to :
     
2
25
 −
8
100
 x −
2
25
(
70
100
 −
15
100
) +
8
100
 x (
70
100
 −
15
100
) =
11
200
    Remove a bracket on the left of the equation:
     
2
25
 −
8
100
 x −
2
25
 ×
70
100
 +
2
25
 ×
15
100
 +
8
100
 x (
70
100
 −
15
100
) =
11
200
    The equation is reduced to :
     
2
25
 −
8
100
 x −
7
125
 +
3
250
 +
8
100
 x (
70
100
 −
15
100
) =
11
200
    The equation is reduced to :
     
9
250
 −
8
100
 x +
8
100
 x (
70
100
 −
15
100
) =
11
200
    Remove a bracket on the left of the equation:
     
9
250
 −
8
100
 x +
8
100
 x ×
70
100
 −
8
100
 x ×
15
100
 =
11
200
    The equation is reduced to :
     
9
250
 −
8
100
 x +
7
125
 x −
3
250
 x =
11
200
    The equation is reduced to :
     
9
250
 −
9
250
 x =
11
200

    Transposition :
      -
9
250
 x =
11
200
 −
9
250

    Combine the items on the right of the equation:
      -
9
250
 x =
19
1000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
19
1000
 =
9
250
 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 :
     
9
250
 x = -
19
1000

    The coefficient of the unknown number is reduced to 1 :
      x = -
19
1000
 ÷
9
250
        = -
19
1000
 ×
250
9
        = -
19
4
 ×
1
9

    We obtained :
      x = -
19
36
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 0.527778



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