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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 (x+2×2)-2.5÷2+(x+2×2)÷(x+2) = x .
    Question type: Equation
    Solution:Original question:
     ( x + 2 × 2)
5
2
÷ 2 + ( x + 2 × 2) ÷ ( x + 2) = x
     Multiply both sides of the equation by:( x + 2)
     ( x + 2 × 2)( x + 2)
5
2
÷ 2 × ( x + 2) + ( x + 2 × 2) = x ( x + 2)
    Remove a bracket on the left of the equation::
      x ( x + 2) + 2 × 2( x + 2)
5
2
÷ 2 × ( x + 2) + ( x + 2 × 2) = x ( x + 2)
    Remove a bracket on the right of the equation::
      x ( x + 2) + 2 × 2( x + 2)
5
2
÷ 2 × ( x + 2) + ( x + 2 × 2) = x x + x × 2
    The equation is reduced to :
      x ( x + 2) + 4( x + 2)
5
4
( x + 2) + ( x + 2 × 2) = x x + x × 2
    Remove a bracket on the left of the equation:
      x x + x × 2 + 4( x + 2)
5
4
( x + 2) + ( x + 2 × 2) = x x + 2 x
    Remove a bracket on the left of the equation:
      x x + 2 x + 4 x + 4 × 2
5
4
( x + 2) + ( x + 2 × 2) = x x + 2 x
    The equation is reduced to :
      x x + 2 x + 4 x + 8
5
4
( x + 2) + ( x + 2 × 2) = x x + 2 x
    The equation is reduced to :
      x x + 6 x + 8
5
4
( x + 2) + ( x + 2 × 2) = x x + 2 x
    Remove a bracket on the left of the equation:
      x x + 6 x + 8
5
4
x
5
4
× 2 + ( x + 2 × 2) = x x + 2 x
    The equation is reduced to :
      x x + 6 x + 8
5
4
x
5
2
+ ( x + 2 × 2) = x x + 2 x
    The equation is reduced to :
      x x +
19
4
x +
11
2
+ ( x + 2 × 2) = x x + 2 x
    Remove a bracket on the left of the equation:
      x x +
19
4
x +
11
2
+ x + 2 × 2 = x x + 2 x
    The equation is reduced to :
      x x +
19
4
x +
11
2
+ x + 4 = x x + 2 x
    The equation is reduced to :
      x x +
23
4
x +
19
2
= x x + 2 x

    
        x1=-
38
15
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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