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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 （103.85+（x-3000）/（5000-3000）*（163.9-103.85））*1*1*1.5 = 3615-x .
    Question type: Equation
    Solution:Original question:
     (
2077
20
 + ( x − 3000) ÷ (5000 − 3000) × (
1639
10
 −
2077
20
)) × 1 × 1 ×
3
2
 = 3615 − x
    Remove a bracket on the left of the equation:：
     
2077
20
 × 1 × 1 ×
3
2
 + ( x − 3000) ÷ (5000 − 3000) × (
1639
10
 −
2077
20
) × 1 × 1 ×
3
2
 = 3615 − x
    The equation is reduced to :
     
6231
40
 + ( x − 3000) ÷ (5000 − 3000) × (
1639
10
 −
2077
20
) ×
3
2
 = 3615 − x
     Multiply both sides of the equation by:(5000 − 3000)
     
6231
40
(5000 − 3000) + ( x − 3000)(
1639
10
 −
2077
20
) ×
3
2
 = 3615(5000 − 3000) − x (5000 − 3000)
    Remove a bracket on the left of the equation:
     
6231
40
 × 5000 −
6231
40
 × 3000 + ( x − 3000)(
1639
10
 −
2077
20
) ×
3
2
 = 3615(5000 − 3000) − x (5000 − 3000)
    Remove a bracket on the right of the equation:：
     
6231
40
 × 5000 −
6231
40
 × 3000 + ( x − 3000)(
1639
10
 −
2077
20
) ×
3
2
 = 3615 × 5000 − 3615 × 3000 − x (5000 − 3000)
    The equation is reduced to :
     778875 − 467325 + ( x − 3000)(
1639
10
 −
2077
20
) ×
3
2
 = 18075000 − 10845000 − x (5000 − 3000)
    The equation is reduced to :
     311550 + ( x − 3000)(
1639
10
 −
2077
20
) ×
3
2
 = 7230000 − x (5000 − 3000)
    Remove a bracket on the left of the equation:
     311550 + x (
1639
10
 −
2077
20
) ×
3
2
 − 3000(
1639
10
 −
2077
20
) ×
3
2
 = 7230000 − x (5000 − 3000)
    Remove a bracket on the right of the equation:：
     311550 + x (
1639
10
 −
2077
20
) ×
3
2
 − 3000(
1639
10
 −
2077
20
) ×
3
2
 = 7230000 − x × 5000 + x × 3000
    The equation is reduced to :
     311550 + x (
1639
10
 −
2077
20
) ×
3
2
 − 4500(
1639
10
 −
2077
20
) = 7230000 − x × 5000 + x × 3000
    The equation is reduced to :
     311550 + x (
1639
10
 −
2077
20
) ×
3
2
 − 4500(
1639
10
 −
2077
20
) = 7230000 − 2000 x
    Remove a bracket on the left of the equation:
     311550 + x ×
1639
10
 ×
3
2
 − x ×
2077
20
 ×
3
2
 − 4500(
1639
10
 −
2077
20
) = 7230000 − 2000 x
    The equation is reduced to :
     311550 + x ×
4917
20
 − x ×
6231
40
 − 4500(
1639
10
 −
2077
20
) = 7230000 − 2000 x
    The equation is reduced to :
     311550 +
3603
40
 x − 4500(
1639
10
 −
2077
20
) = 7230000 − 2000 x
    Remove a bracket on the left of the equation:
     311550 +
3603
40
 x − 4500 ×
1639
10
 + 4500 ×
2077
20
 = 7230000 − 2000 x
    The equation is reduced to :
     311550 +
3603
40
 x − 737550 + 467325 = 7230000 − 2000 x
    The equation is reduced to :
     41325 +
3603
40
 x = 7230000 − 2000 x

    Transposition :
     
3603
40
 x + 2000 x = 7230000 − 41325

    Combine the items on the left of the equation:
     
83603
40
 x = 7230000 − 41325

    Combine the items on the right of the equation:
     
83603
40
 x = 7188675

    The coefficient of the unknown number is reduced to 1 :
      x = 7188675 ÷
83603
40
        = 7188675 ×
40
83603
        = 552975 ×
40
6431

    We obtained :
      x =
22119000
6431
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 3439.433992



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