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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+180)/45 = (x-180)/33 .
    Question type: Equation
    Solution:Original question:
     ( x + 180) ÷ 45 = ( x - 180) ÷ 33
    Remove the bracket on the left of the equation:
     Left side of the equation = x ×
1
45
+ 180 ×
1
45
                                             = x ×
1
45
+ 4
    The equation is transformed into :
     
1
45
x + 4 = ( x - 180) ÷ 33
    Remove the bracket on the right of the equation:
     Right side of the equation = x ×
1
33
- 180 ×
1
33
                                               = x ×
1
33
-
60
11
    The equation is transformed into :
     
1
45
x + 4 =
1
33
x -
60
11

    Transposition :
     
1
45
x -
1
33
x = -
60
11
- 4

    Combine the items on the left of the equation:
      -
4
495
x = -
60
11
- 4

    Combine the items on the right of the equation:
      -
4
495
x = -
104
11

    Multiply both sides of the equation by -1 :
     
4
495
x =
104
11

    The coefficient of the unknown number is reduced to 1 :
      x =
104
11
÷
4
495
        =
104
11
×
495
4
        = 26 × 45

    Get the solution of the equation :
      x = 1170



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