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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 240/（x/120%）+1/3+2/3+240/x = 480/（x/120%） .
    Question type: Equation
    Solution:Original question:
     240 ÷ ( x ÷
120
100
) + 1 ÷ 3 + 2 ÷ 3 + 240 ÷ x = 480 ÷ ( x ÷
120
100
)
     Multiply both sides of the equation by:( x ÷
120
100
)
     240 + 1 ÷ 3 × ( x ÷
120
100
) + 2 ÷ 3 × ( x ÷
120
100
) + 240 ÷ 1 × (1 ÷
120
100
) = 480
    Remove a bracket on the left of the equation:：
     240 + 1 ÷ 3 × x ÷
120
100
 + 2 ÷ 3 × ( x ÷
120
100
) + 240 ÷ 1 × (1 ÷
120
100
) = 480
    The equation is reduced to :
     240 +
5
18
 x +
2
3
( x ÷
120
100
) + 240(1 ÷
120
100
) = 480
    Remove a bracket on the left of the equation:
     240 +
5
18
 x +
2
3
 x ÷
120
100
 + 240(1 ÷
120
100
) = 480
    The equation is reduced to :
     240 +
5
18
 x +
5
9
 x + 240(1 ÷
120
100
) = 480
    The equation is reduced to :
     240 +
5
6
 x + 240(1 ÷
120
100
) = 480
    Remove a bracket on the left of the equation:
     240 +
5
6
 x + 240 × 1 ÷
120
100
 = 480
    The equation is reduced to :
     240 +
5
6
 x + 200 = 480
    The equation is reduced to :
     440 +
5
6
 x = 480

    Transposition :
     
5
6
 x = 480 − 440

    Combine the items on the right of the equation:
     
5
6
 x = 40

    The coefficient of the unknown number is reduced to 1 :
      x = 40 ÷
5
6
        = 40 ×
6
5
        = 8 × 6

    We obtained :
      x = 48
    This is the solution of the equation.



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