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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-43.1-35）*（1-15%）/（500+500） = （x-43.1-200）*（1-15%）/（500+200） .
    Question type: Equation
    Solution:Original question:
     ( x −
431
10
 − 35)(1 −
15
100
) ÷ (500 + 500) = ( x −
431
10
 − 200)(1 −
15
100
) ÷ (500 + 200)
     Multiply both sides of the equation by:(500 + 500) ,  (500 + 200)
     ( x −
431
10
 − 35)(1 −
15
100
)(500 + 200) = ( x −
431
10
 − 200)(1 −
15
100
)(500 + 500)
    Remove a bracket on the left of the equation:：
      x (1 −
15
100
)(500 + 200) −
431
10
(1 −
15
100
)(500 + 200) − 35(1 −
15
100
)(500 + 200) = ( x −
431
10
 − 200)(1 −
15
100
)(500 + 500)
    Remove a bracket on the right of the equation:：
      x (1 −
15
100
)(500 + 200) −
431
10
(1 −
15
100
)(500 + 200) − 35(1 −
15
100
)(500 + 200) = x (1 −
15
100
)(500 + 500) −
431
10
(1 −
15
100
)(500 + 500) − 200(1 −
15
100
)(500 + 500)
    Remove a bracket on the left of the equation:
      x × 1(500 + 200) − x ×
15
100
(500 + 200) −
431
10
(1 −
15
100
)(500 + 200) − 35(1 −
15
100
)(500 + 200) = x (1 −
15
100
)(500 + 500) −
431
10
(1 −
15
100
)(500 + 500) − 200(1 −
15
100
)(500 + 500)
    Remove a bracket on the right of the equation:：
      x × 1(500 + 200) − x ×
15
100
(500 + 200) −
431
10
(1 −
15
100
)(500 + 200) − 35(1 −
15
100
)(500 + 200) = x × 1(500 + 500) − x ×
15
100
(500 + 500) −
431
10
(1 −
15
100
)(500 + 500) − 200(1 −
15
100
)(500 + 500)
    Remove a bracket on the left of the equation:
      x × 1 × 500 + x × 1 × 200 − x ×
15
100
(500 + 200) −
431
10
(1 −
15
100
)(500 + 200) = x × 1(500 + 500) − x ×
15
100
(500 + 500) −
431
10
(1 −
15
100
)(500 + 500) − 200(1 −
15
100
)(500 + 500)
    Remove a bracket on the right of the equation:：
      x × 1 × 500 + x × 1 × 200 − x ×
15
100
(500 + 200) −
431
10
(1 −
15
100
)(500 + 200) = x × 1 × 500 + x × 1 × 500 − x ×
15
100
(500 + 500) −
431
10
(1 −
15
100
)(500 + 500)
    The equation is reduced to :
      x × 500 + x × 200 − x ×
15
100
(500 + 200) −
431
10
(1 −
15
100
)(500 + 200) − 35(1 −
15
100
) = x × 500 + x × 500 − x ×
15
100
(500 + 500) −
431
10
(1 −
15
100
)(500 + 500) − 200(1 −
15
100
)
    The equation is reduced to :
     700 x − x ×
15
100
(500 + 200) −
431
10
(1 −
15
100
)(500 + 200) − 35(1 −
15
100
)(500 + 200) = 1000 x − x ×
15
100
(500 + 500) −
431
10
(1 −
15
100
)(500 + 500) − 200(1 −
15
100
)(500 + 500)
    Remove a bracket on the left of the equation:
     700 x − x ×
15
100
 × 500 − x ×
15
100
 × 200 −
431
10
(1 −
15
100
)(500 + 200) − 35 = 1000 x − x ×
15
100
(500 + 500) −
431
10
(1 −
15
100
)(500 + 500) − 200(1 −
15
100
)(500 + 500)
    Remove a bracket on the right of the equation:：
     700 x − x ×
15
100
 × 500 − x ×
15
100
 × 200 −
431
10
(1 −
15
100
)(500 + 200) − 35 = 1000 x − x ×
15
100
 × 500 − x ×
15
100
 × 500 −
431
10
(1 −
15
100
)(500 + 500) − 200
    The equation is reduced to :
     700 x − x × 75 − x × 30 −
431
10
(1 −
15
100
)(500 + 200) − 35(1 −
15
100
)(500 + 200) = 1000 x − x × 75 − x × 75 −
431
10
(1 −
15
100
)(500 + 500) − 200(1 −
15
100
)(500 + 500)
    The equation is reduced to :
     595 x −
431
10
(1 −
15
100
)(500 + 200) − 35(1 −
15
100
)(500 + 200) = 850 x −
431
10
(1 −
15
100
)(500 + 500) − 200(1 −
15
100
)(500 + 500)
    Remove a bracket on the left of the equation:
     595 x −
431
10
 × 1(500 + 200) +
431
10
 ×
15
100
(500 + 200) − 35(1 −
15
100
)(500 + 200) = 850 x −
431
10
(1 −
15
100
)(500 + 500) − 200(1 −
15
100
)(500 + 500)
    Remove a bracket on the right of the equation:：
     595 x −
431
10
 × 1(500 + 200) +
431
10
 ×
15
100
(500 + 200) − 35(1 −
15
100
)(500 + 200) = 850 x −
431
10
 × 1(500 + 500) +
431
10
 ×
15
100
(500 + 500) − 200(1 −
15
100
)(500 + 500)
    The equation is reduced to :
     595 x −
431
10
(500 + 200) +
1293
200
(500 + 200) − 35(1 −
15
100
)(500 + 200) = 850 x −
431
10
(500 + 500) +
1293
200
(500 + 500) − 200(1 −
15
100
)(500 + 500)
    Remove a bracket on the left of the equation:
     595 x −
431
10
 × 500 −
431
10
 × 200 +
1293
200
(500 + 200) − 35(1 −
15
100
)(500 + 200) = 850 x −
431
10
(500 + 500) +
1293
200
(500 + 500) − 200(1 −
15
100
)(500 + 500)
    Remove a bracket on the right of the equation:：
     595 x −
431
10
 × 500 −
431
10
 × 200 +
1293
200
(500 + 200) − 35(1 −
15
100
)(500 + 200) = 850 x −
431
10
 × 500 −
431
10
 × 500 +
1293
200
(500 + 500) − 200(1 −
15
100
)(500 + 500)
    The equation is reduced to :
     595 x − 21550 − 8620 +
1293
200
(500 + 200) − 35(1 −
15
100
)(500 + 200) = 850 x − 21550 − 21550 +
1293
200
(500 + 500) − 200(1 −
15
100
)(500 + 500)
    The equation is reduced to :
     595 x − 30170 +
1293
200
(500 + 200) − 35(1 −
15
100
)(500 + 200) = 850 x − 43100 +
1293
200
(500 + 500) − 200(1 −
15
100
)(500 + 500)
    Remove a bracket on the left of the equation:
     595 x − 30170 +
1293
200
 × 500 +
1293
200
 × 200 − 35(1 −
15
100
)(500 + 200) = 850 x − 43100 +
1293
200
(500 + 500) − 200(1 −
15
100
)(500 + 500)
    Remove a bracket on the right of the equation:：
     595 x − 30170 +
1293
200
 × 500 +
1293
200
 × 200 − 35(1 −
15
100
)(500 + 200) = 850 x − 43100 +
1293
200
 × 500 +
1293
200
 × 500 − 200(1 −
15
100
)(500 + 500)
    The equation is reduced to :
     595 x − 30170 +
6465
2
 + 1293 − 35(1 −
15
100
)(500 + 200) = 850 x − 43100 +
6465
2
 +
6465
2
 − 200(1 −
15
100
)(500 + 500)

    
        x≈-50627.782353 , keep 6 decimal places    
    There are 1 solution(s).

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