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current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer
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[ 1/1 Equation]
    Work: Find the solution of equation (8%*100/55*x)/(1-8%*100/55*x) = 10% .
    Question type: Equation
    Solution:Original question:
     (
8
100
× 100 ÷ 55 × x ) ÷ (1
8
100
× 100 ÷ 55 × x ) =
10
100
     Multiply both sides of the equation by:(1
8
100
× 100 ÷ 55 × x )
     (
8
100
× 100 ÷ 55 × x ) =
10
100
(1
8
100
× 100 ÷ 55 × x )
    Remove a bracket on the left of the equation::
     
8
100
× 100 ÷ 55 × x =
10
100
(1
8
100
× 100 ÷ 55 × x )
    Remove a bracket on the right of the equation::
     
8
100
× 100 ÷ 55 × x =
10
100
× 1
10
100
×
8
100
× 100 ÷ 55 × x
    The equation is reduced to :
     
8
55
x =
1
10
4
275
x

    Transposition :
     
8
55
x +
4
275
x =
1
10

    Combine the items on the left of the equation:
     
4
25
x =
1
10

    The coefficient of the unknown number is reduced to 1 :
      x =
1
10
÷
4
25
        =
1
10
×
25
4
        =
1
2
×
5
4

    We obtained :
      x =
5
8
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.625




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