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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.
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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-7%）/(7%-5%) = (120-150)/(150-100) .
    Question type: Equation
    Solution:Original question:
     ( x −
7
100
) ÷ (
7
100
 −
5
100
) = (120 − 150) ÷ (150 − 100)
     Multiply both sides of the equation by:(
7
100
 −
5
100
) ,  (150 − 100)
     ( x −
7
100
)(150 − 100) = (120 − 150)(
7
100
 −
5
100
)
    Remove a bracket on the left of the equation:：
      x (150 − 100) −
7
100
(150 − 100) = (120 − 150)(
7
100
 −
5
100
)
    Remove a bracket on the right of the equation:：
      x (150 − 100) −
7
100
(150 − 100) = 120(
7
100
 −
5
100
) − 150(
7
100
 −
5
100
)
    Remove a bracket on the left of the equation:
      x × 150 − x × 100 −
7
100
(150 − 100) = 120(
7
100
 −
5
100
) − 150(
7
100
 −
5
100
)
    Remove a bracket on the right of the equation:：
      x × 150 − x × 100 −
7
100
(150 − 100) = 120 ×
7
100
 − 120 ×
5
100
 − 150(
7
100
 −
5
100
)
    The equation is reduced to :
      x × 150 − x × 100 −
7
100
(150 − 100) =
42
5
 − 6 − 150(
7
100
 −
5
100
)
    The equation is reduced to :
     50 x −
7
100
(150 − 100) =
12
5
 − 150(
7
100
 −
5
100
)
    Remove a bracket on the left of the equation:
     50 x −
7
100
 × 150 +
7
100
 × 100 =
12
5
 − 150(
7
100
 −
5
100
)
    Remove a bracket on the right of the equation:：
     50 x −
7
100
 × 150 +
7
100
 × 100 =
12
5
 − 150 ×
7
100
 + 150 ×
5
100
    The equation is reduced to :
     50 x −
21
2
 + 7 =
12
5
 −
21
2
 +
15
2
    The equation is reduced to :
     50 x −
7
2
 = -
3
5

    Transposition :
     50 x = -
3
5
 +
7
2

    Combine the items on the right of the equation:
     50 x =
29
10

    The coefficient of the unknown number is reduced to 1 :
      x =
29
10
 ÷ 50
        =
29
10
 ×
1
50

    We obtained :
      x =
29
500
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 0.058



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