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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 (12-x)/(33+22*0.8)-x/24 = (x-0.53)/76/1.9 .
    Question type: Equation
    Solution:Original question:
     (12 x ) ÷ (33 + 22 ×
4
5
) x ÷ 24 = ( x
53
100
) ÷ 76 ÷
19
10
     Multiply both sides of the equation by:(33 + 22 ×
4
5
)
     (12 x ) x ÷ 24 × (33 + 22 ×
4
5
) = ( x
53
100
) ÷ 76 ÷
19
10
× (33 + 22 ×
4
5
)
    Remove a bracket on the left of the equation::
     12 x x ÷ 24 × (33 + 22 ×
4
5
) = ( x
53
100
) ÷ 76 ÷
19
10
× (33 + 22 ×
4
5
)
    Remove a bracket on the right of the equation::
     12 x x ÷ 24 × (33 + 22 ×
4
5
) = x ÷ 76 ÷
19
10
× (33 + 22 ×
4
5
)
53
100
÷ 76 ÷
19
10
× (33 + 22 ×
4
5
)
    The equation is reduced to :
     12 x x ×
1
24
(33 + 22 ×
4
5
) = x ×
5
722
(33 + 22 ×
4
5
)
53
14440
(33 + 22 ×
4
5
)
    Remove a bracket on the left of the equation:
     12 x x ×
1
24
× 33 x ×
1
24
× 22 ×
4
5
= x ×
5
722
(33 + 22 ×
4
5
)
53
14440
(33 + 22 ×
4
5
)
    Remove a bracket on the right of the equation::
     12 x x ×
1
24
× 33 x ×
1
24
× 22 ×
4
5
= x ×
5
722
× 33 + x ×
5
722
× 22 ×
4
5
53
14440
(33 + 22 ×
4
5
)
    The equation is reduced to :
     12 x x ×
11
8
x ×
11
15
= x ×
165
722
+ x ×
44
361
53
14440
(33 + 22 ×
4
5
)
    The equation is reduced to :
     12
373
120
x =
253
722
x
53
14440
(33 + 22 ×
4
5
)
    Remove a bracket on the right of the equation::
     12
373
120
x =
253
722
x
53
14440
× 33
53
14440
× 22 ×
4
5
    The equation is reduced to :
     12
373
120
x =
253
722
x
1749
14440
583
9025
    The equation is reduced to :
     12
373
120
x =
253
722
x
13409
72200

    Transposition :
      -
373
120
x
253
722
x = -
13409
72200
12

    Combine the items on the left of the equation:
      -
149833
43320
x = -
13409
72200
12

    Combine the items on the right of the equation:
      -
149833
43320
x = -
879809
72200

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
879809
72200
=
149833
43320
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 :
     
149833
43320
x =
879809
72200

    The coefficient of the unknown number is reduced to 1 :
      x =
879809
72200
÷
149833
43320
        =
879809
72200
×
43320
149833
        =
879809
5
×
3
149833

    We obtained :
      x =
2639427
749165
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 3.523158



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