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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 90/6-x = x-90/(6+4) .
    Question type: Equation
    Solution:Original question:
     90 ÷ 6 x = x 90 ÷ (6 + 4)
     Multiply both sides of the equation by:(6 + 4)
     90 ÷ 6 × (6 + 4) x (6 + 4) = x (6 + 4)90
    Remove a bracket on the left of the equation::
     90 ÷ 6 × 6 + 90 ÷ 6 × 4 x (6 + 4) = x (6 + 4)90
    Remove a bracket on the right of the equation::
     90 ÷ 6 × 6 + 90 ÷ 6 × 4 x (6 + 4) = x × 6 + x × 490
    The equation is reduced to :
     90 + 60 x (6 + 4) = x × 6 + x × 490
    The equation is reduced to :
     150 x (6 + 4) = 10 x 90
    Remove a bracket on the left of the equation:
     150 x × 6 x × 4 = 10 x 90
    The equation is reduced to :
     15010 x = 10 x 90

    Transposition :
      - 10 x 10 x = - 90150

    Combine the items on the left of the equation:
      - 20 x = - 90150

    Combine the items on the right of the equation:
      - 20 x = - 240

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     240 = 20 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 :
     20 x = 240

    The coefficient of the unknown number is reduced to 1 :
      x = 240 ÷ 20
        = 240 ×
1
20
        = 12 × 1

    We obtained :
      x = 12
    This is the solution of the equation.



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