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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.
    It supports equations that contain mathematical functions.
    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 （20.9+（x-500）/（1000-500）*（38.8-20.9）)*1.1*1*1 = 623.19-x .
    Question type: Equation
    Solution:Original question:
     (
209
10
 + ( x − 500) ÷ (1000 − 500) × (
194
5
 −
209
10
)) ×
11
10
 × 1 × 1 =
62319
100
 − x
    Remove a bracket on the left of the equation:：
     
209
10
 ×
11
10
 × 1 × 1 + ( x − 500) ÷ (1000 − 500) × (
194
5
 −
209
10
) ×
11
10
 × 1 × 1 =
62319
100
 − x
    The equation is reduced to :
     
2299
100
 + ( x − 500) ÷ (1000 − 500) × (
194
5
 −
209
10
) ×
11
10
 =
62319
100
 − x
     Multiply both sides of the equation by:(1000 − 500)
     
2299
100
(1000 − 500) + ( x − 500)(
194
5
 −
209
10
) ×
11
10
 =
62319
100
(1000 − 500) − x (1000 − 500)
    Remove a bracket on the left of the equation:
     
2299
100
 × 1000 −
2299
100
 × 500 + ( x − 500)(
194
5
 −
209
10
) ×
11
10
 =
62319
100
(1000 − 500) − x (1000 − 500)
    Remove a bracket on the right of the equation:：
     
2299
100
 × 1000 −
2299
100
 × 500 + ( x − 500)(
194
5
 −
209
10
) ×
11
10
 =
62319
100
 × 1000 −
62319
100
 × 500 − x (1000 − 500)
    The equation is reduced to :
     22990 − 11495 + ( x − 500)(
194
5
 −
209
10
) ×
11
10
 = 623190 − 311595 − x (1000 − 500)
    The equation is reduced to :
     11495 + ( x − 500)(
194
5
 −
209
10
) ×
11
10
 = 311595 − x (1000 − 500)
    Remove a bracket on the left of the equation:
     11495 + x (
194
5
 −
209
10
) ×
11
10
 − 500(
194
5
 −
209
10
) ×
11
10
 = 311595 − x (1000 − 500)
    Remove a bracket on the right of the equation:：
     11495 + x (
194
5
 −
209
10
) ×
11
10
 − 500(
194
5
 −
209
10
) ×
11
10
 = 311595 − x × 1000 + x × 500
    The equation is reduced to :
     11495 + x (
194
5
 −
209
10
) ×
11
10
 − 550(
194
5
 −
209
10
) = 311595 − x × 1000 + x × 500
    The equation is reduced to :
     11495 + x (
194
5
 −
209
10
) ×
11
10
 − 550(
194
5
 −
209
10
) = 311595 − 500 x
    Remove a bracket on the left of the equation:
     11495 + x ×
194
5
 ×
11
10
 − x ×
209
10
 ×
11
10
 − 550(
194
5
 −
209
10
) = 311595 − 500 x
    The equation is reduced to :
     11495 + x ×
1067
25
 − x ×
2299
100
 − 550(
194
5
 −
209
10
) = 311595 − 500 x
    The equation is reduced to :
     11495 +
1969
100
 x − 550(
194
5
 −
209
10
) = 311595 − 500 x
    Remove a bracket on the left of the equation:
     11495 +
1969
100
 x − 550 ×
194
5
 + 550 ×
209
10
 = 311595 − 500 x
    The equation is reduced to :
     11495 +
1969
100
 x − 21340 + 11495 = 311595 − 500 x
    The equation is reduced to :
     1650 +
1969
100
 x = 311595 − 500 x

    Transposition :
     
1969
100
 x + 500 x = 311595 − 1650

    Combine the items on the left of the equation:
     
51969
100
 x = 311595 − 1650

    Combine the items on the right of the equation:
     
51969
100
 x = 309945

    The coefficient of the unknown number is reduced to 1 :
      x = 309945 ÷
51969
100
        = 309945 ×
100
51969
        = 103315 ×
100
17323

    We obtained :
      x =
10331500
17323
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 596.403625



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