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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 ((5*35+x)+4*6+1*4+3+4+2*1)/(50+x) = 4.6 .
    Question type: Equation
    Solution:Original question:
     ((5 × 35 + x ) + 4 × 6 + 1 × 4 + 3 + 4 + 2 × 1) ÷ (50 + x ) =
23
5
     Multiply both sides of the equation by:(50 + x )
     ((5 × 35 + x ) + 4 × 6 + 1 × 4 + 3 + 4 + 2 × 1) =
23
5
(50 + x )
    Remove a bracket on the left of the equation::
     (5 × 35 + x ) + 4 × 6 + 1 × 4 + 3 + 4 + 2 × 1 =
23
5
(50 + x )
    Remove a bracket on the right of the equation::
     (5 × 35 + x ) + 4 × 6 + 1 × 4 + 3 + 4 + 2 × 1 =
23
5
× 50 +
23
5
x
    The equation is reduced to :
     (5 × 35 + x ) + 24 + 4 + 3 + 4 + 2 = 230 +
23
5
x
    The equation is reduced to :
     (5 × 35 + x ) + 37 = 230 +
23
5
x
    Remove a bracket on the left of the equation:
     5 × 35 + x + 37 = 230 +
23
5
x
    The equation is reduced to :
     175 + x + 37 = 230 +
23
5
x
    The equation is reduced to :
     212 + x = 230 +
23
5
x

    Transposition :
      x
23
5
x = 230212

    Combine the items on the left of the equation:
      -
18
5
x = 230212

    Combine the items on the right of the equation:
      -
18
5
x = 18

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      - 18 =
18
5
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 :
     
18
5
x = - 18

    The coefficient of the unknown number is reduced to 1 :
      x = - 18 ÷
18
5
        = - 18 ×
5
18
        = - 1 × 5

    We obtained :
      x = - 5
    This is the solution of the equation.



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