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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 120(10000/x)+130(10000/120-10000/x)+60(10000/x)+80(20000/x-10000/60)+100(10000/x) = 20000 .
    Question type: Equation
    Solution:Original question:
     120(10000 ÷ x ) + 130(10000 ÷ 12010000 ÷ x ) + 60(10000 ÷ x ) + 80(20000 ÷ x 10000 ÷ 60) + 100(10000 ÷ x ) = 20000
    Remove a bracket on the left of the equation::
     120 × 10000 ÷ x + 130(10000 ÷ 12010000 ÷ x ) + 60(10000 ÷ x ) + 80(20000 ÷ x 10000 ÷ 60) + 100(10000 ÷ x ) = 20000
    The equation is reduced to :
     1200000 ÷ x + 130(10000 ÷ 12010000 ÷ x ) + 60(10000 ÷ x ) + 80(20000 ÷ x 10000 ÷ 60) + 100(10000 ÷ x ) = 20000
     Multiply both sides of the equation by: x
     1200000 + 130(10000 ÷ 12010000 ÷ x ) x + 60(10000 ÷ 1) × 1 + 80(20000 ÷ x 10000 ÷ 60) x + 100(10000 ÷ 1) = 20000 x
    Remove a bracket on the left of the equation:
     1200000 + 130 × 10000 ÷ 120 × x 130 × 10000 ÷ x × x + 60(10000 ÷ 1) × 1 = 20000 x
    The equation is reduced to :
     1200000 +
32500
3
x 1300000 ÷ x × x + 60(10000 ÷ 1) + 80(20000 ÷ x 10000 ÷ 60) x + 100 = 20000 x
    Remove a bracket on the left of the equation:
     1200000 +
32500
3
x 1300000 ÷ 1 × 1 + 60 × 10000 ÷ 1 + 80(20000 ÷ x 10000 ÷ 60) x = 20000 x
    The equation is reduced to :
     1200000 +
32500
3
x 1300000 + 600000 + 80(20000 ÷ x 10000 ÷ 60) x + 100(10000 ÷ 1) = 20000 x
    The equation is reduced to :
     500000 +
32500
3
x + 80(20000 ÷ x 10000 ÷ 60) x + 100(10000 ÷ 1) = 20000 x
    Remove a bracket on the left of the equation:
     500000 +
32500
3
x + 80 × 20000 ÷ x × x 80 × 10000 ÷ 60 × x + 100 = 20000 x
    The equation is reduced to :
     500000 +
32500
3
x + 1600000 ÷ x × x
40000
3
x + 100(10000 ÷ 1) = 20000 x
    The equation is reduced to :
     5000002500 x + 1600000 ÷ x × x + 100(10000 ÷ 1) = 20000 x
    Remove a bracket on the left of the equation:
     5000002500 x + 1600000 ÷ 1 × 1 + 100 × 10000 ÷ 1 = 20000 x
    The equation is reduced to :
     5000002500 x + 1600000 + 1000000 = 20000 x
    The equation is reduced to :
     31000002500 x = 20000 x

    Transposition :
      - 2500 x 20000 x = - 3100000

    Combine the items on the left of the equation:
      - 22500 x = - 3100000

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     3100000 = 22500 x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     22500 x = 3100000

    The coefficient of the unknown number is reduced to 1 :
      x = 3100000 ÷ 22500
        = 3100000 ×
1
22500
        = 1240 ×
1
9

    We obtained :
      x =
1240
9
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 137.777778



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