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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 56/2+((49+38+x)/3)/2 = 50 .
    Question type: Equation
    Solution:Original question:
     56 ÷ 2 + ((49 + 38 + x ) ÷ 3) ÷ 2 = 50
     Left side of the equation = 28 + ((49 + 38 + x ) ÷ 3) ×
1
2
    The equation is transformed into :
     28 + ((49 + 38 + x ) ÷ 3) ×
1
2
= 50
    Remove the bracket on the left of the equation:
     Left side of the equation = 28 + (49 + 38 + x ) ÷ 3 ×
1
2
                                             = 28 + (49 + 38 + x ) ×
1
6
                                             = 28 + 49 ×
1
6
+ 38 ×
1
6
+ x ×
1
6
                                             = 28 +
49
6
+
19
3
+ x ×
1
6
                                             =
85
2
+
1
6
x
    The equation is transformed into :
     
85
2
+
1
6
x = 50

    Transposition :
     
1
6
x = 50
85
2

    Combine the items on the right of the equation:
     
1
6
x =
15
2

    The coefficient of the unknown number is reduced to 1 :
      x =
15
2
÷
1
6
        =
15
2
× 6
        = 15 × 3

    We obtained :
      x = 45
    This is the solution of the equation.



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