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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.
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    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 0.75 = 0.5+(x-33)*0.05-(15+10)*0.05 .
    Question type: Equation
    Solution:Original question:
     
3
4
=
1
2
+ ( x 33) ×
1
20
(15 + 10) ×
1
20
    Remove the bracket on the right of the equation:
     Right side of the equation =
1
2
+ x ×
1
20
33 ×
1
20
(15 + 10) ×
1
20
                                               =
1
2
+ x ×
1
20
33
20
(15 + 10) ×
1
20
                                               = -
23
20
+
1
20
x (15 + 10) ×
1
20
                                               = -
23
20
+
1
20
x 15 ×
1
20
10 ×
1
20
                                               = -
23
20
+
1
20
x
3
4
1
2
                                               = -
12
5
+
1
20
x
    The equation is transformed into :
     
3
4
= -
12
5
+
1
20
x

    Transposition :
      -
1
20
x = -
12
5
3
4

    Combine the items on the right of the equation:
      -
1
20
x = -
63
20

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
63
20
=
1
20
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 :
     
1
20
x =
63
20

    The coefficient of the unknown number is reduced to 1 :
      x =
63
20
÷
1
20
        =
63
20
× 20
        = 63 × 1

    We obtained :
      x = 63
    This is the solution of the equation.



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