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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-26)/6+30/(6*(3/4))+(x-4)/(6*(3/4)*(5/4) ) = (x-4)/5+30/(5*(5/4))+(x-26)/(5*(5/4)*(3/4)) .
    Question type: Equation
    Solution:Original question:
     ( x 26) ÷ 6 + 30 ÷ (6(3 ÷ 4)) + ( x 4) ÷ (6(3 ÷ 4)(5 ÷ 4)) = ( x 4) ÷ 5 + 30 ÷ (5(5 ÷ 4)) + ( x 26) ÷ (5(5 ÷ 4)(3 ÷ 4))
     Multiply both sides of the equation by:(6(3 ÷ 4)) ,  (5(5 ÷ 4))
     ( x 26) ÷ 6 × (6(3 ÷ 4))(5(5 ÷ 4)) + 30(5(5 ÷ 4)) + ( x 4) ÷ (6(3 ÷ 4)(5 ÷ 4)) × (6(3 ÷ 4))(5(5 ÷ 4)) = ( x 4) ÷ 5 × (6(3 ÷ 4))(5(5 ÷ 4)) + 30(6(3 ÷ 4)) + ( x 26) ÷ (5(5 ÷ 4)(3 ÷ 4)) × (6(3 ÷ 4))(5(5 ÷ 4))
    Remove a bracket on the left of the equation::
      x ÷ 6 × (6(3 ÷ 4))(5(5 ÷ 4))26 ÷ 6 × (6(3 ÷ 4))(5(5 ÷ 4)) + 30(5(5 ÷ 4)) + ( x 4) ÷ (6(3 ÷ 4)(5 ÷ 4)) = ( x 4) ÷ 5 × (6(3 ÷ 4))(5(5 ÷ 4)) + 30(6(3 ÷ 4)) + ( x 26) ÷ (5(5 ÷ 4)(3 ÷ 4)) × (6(3 ÷ 4))(5(5 ÷ 4))
    Remove a bracket on the right of the equation::
      x ÷ 6 × (6(3 ÷ 4))(5(5 ÷ 4))26 ÷ 6 × (6(3 ÷ 4))(5(5 ÷ 4)) + 30(5(5 ÷ 4)) + ( x 4) ÷ (6(3 ÷ 4)(5 ÷ 4)) = x ÷ 5 × (6(3 ÷ 4))(5(5 ÷ 4))4 ÷ 5 × (6(3 ÷ 4))(5(5 ÷ 4)) + 30(6(3 ÷ 4)) + ( x 26) ÷ (5(5 ÷ 4)(3 ÷ 4))
    The equation is reduced to :
      x ×
1
6
(6(3 ÷ 4))(5(5 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4)) + 30(5(5 ÷ 4)) + ( x 4) ÷ (6(3 ÷ 4)(5 ÷ 4)) × (6(3 ÷ 4)) = x ×
1
5
(6(3 ÷ 4))(5(5 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4)) + 30(6(3 ÷ 4)) + ( x 26) ÷ (5(5 ÷ 4)(3 ÷ 4)) × (6(3 ÷ 4))
     Multiply both sides of the equation by:(6(3 ÷ 4)(5 ÷ 4)) ,  (5(5 ÷ 4)(3 ÷ 4))
      x ×
1
6
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
1
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30
    Remove a bracket on the left of the equation:
      x ×
1
6
× 6(3 ÷ 4)(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) = x ×
1
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30
    Remove a bracket on the right of the equation::
      x ×
1
6
× 6(3 ÷ 4)(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) = x ×
1
5
× 6(3 ÷ 4)(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
    The equation is reduced to :
      x × 1(3 ÷ 4)(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
6
5
(3 ÷ 4)(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30
    Remove a bracket on the left of the equation:
      x × 1 × 3 ÷ 4 × (5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) = x ×
6
5
(3 ÷ 4)(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30
    Remove a bracket on the right of the equation::
      x × 1 × 3 ÷ 4 × (5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) = x ×
6
5
× 3 ÷ 4 × (5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
    The equation is reduced to :
      x ×
3
4
(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(5(5 ÷ 4)) = x ×
9
10
(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))
    Remove a bracket on the left of the equation:
      x ×
3
4
× 5(5 ÷ 4)(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
9
10
(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))
    Remove a bracket on the right of the equation::
      x ×
3
4
× 5(5 ÷ 4)(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
9
10
× 5(5 ÷ 4)(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30
    The equation is reduced to :
      x ×
15
4
(5 ÷ 4)(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(5(5 ÷ 4)) = x ×
9
2
(5 ÷ 4)(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))
    Remove a bracket on the left of the equation:
      x ×
15
4
× 5 ÷ 4 × (6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
9
2
(5 ÷ 4)(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))
    Remove a bracket on the right of the equation::
      x ×
15
4
× 5 ÷ 4 × (6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
9
2
× 5 ÷ 4 × (6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30
    The equation is reduced to :
      x ×
75
16
(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4)) = x ×
45
8
(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))
    Remove a bracket on the left of the equation:
      x ×
75
16
× 6(3 ÷ 4)(5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
45
8
(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))
    Remove a bracket on the right of the equation::
      x ×
75
16
× 6(3 ÷ 4)(5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
45
8
× 6(3 ÷ 4)(5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30
    The equation is reduced to :
      x ×
225
8
(3 ÷ 4)(5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(5(5 ÷ 4)) = x ×
135
4
(3 ÷ 4)(5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))
    Remove a bracket on the left of the equation:
      x ×
225
8
× 3 ÷ 4 × (5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
13
3
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30 = x ×
135
4
(3 ÷ 4)(5 ÷ 4)(5(5 ÷ 4)(3 ÷ 4))
4
5
(6(3 ÷ 4))(5(5 ÷ 4))(6(3 ÷ 4)(5 ÷ 4))(5(5 ÷ 4)(3 ÷ 4)) + 30(6(3 ÷ 4))

    
        x=-50
    
    There are 1 solution(s).


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