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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-40-48)*0.75]/600 = [(x-40)*0.75]/700 .
    Question type: Equation
    Solution:Original question:
     (( x 4048) ×
3
4
) ÷ 600 = (( x 40) ×
3
4
) ÷ 700
    Remove the bracket on the left of the equation:
     Left side of the equation = ( x 4048) ×
3
4
×
1
600
                                             = ( x 4048) ×
1
800
                                             = x ×
1
800
40 ×
1
800
48 ×
1
800
                                             = x ×
1
800
1
20
3
50
                                             =
1
800
x
11
100
    The equation is transformed into :
     
1
800
x
11
100
= (( x 40) ×
3
4
) ÷ 700
    Remove the bracket on the right of the equation:
     Right side of the equation = ( x 40) ×
3
4
×
1
700
                                               = ( x 40) ×
3
2800
                                               = x ×
3
2800
40 ×
3
2800
                                               = x ×
3
2800
3
70
    The equation is transformed into :
     
1
800
x
11
100
=
3
2800
x
3
70

    Transposition :
     
1
800
x
3
2800
x = -
3
70
+
11
100

    Combine the items on the left of the equation:
     
1
5600
x = -
3
70
+
11
100

    Combine the items on the right of the equation:
     
1
5600
x =
47
700

    The coefficient of the unknown number is reduced to 1 :
      x =
47
700
÷
1
5600
        =
47
700
× 5600
        = 47 × 8

    We obtained :
      x = 376
    This is the solution of the equation.



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