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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)/78.1 .
    Question type: Equation
    Solution:Original question:
     (12 x ) ÷ (33 + 22 ×
4
5
) x ÷ 24 = ( x
53
100
) ÷
781
10
     Multiply both sides of the equation by:(33 + 22 ×
4
5
)
     (12 x ) x ÷ 24 × (33 + 22 ×
4
5
) = ( x
53
100
) ÷
781
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
) ÷
781
10
× (33 + 22 ×
4
5
)
    Remove a bracket on the right of the equation::
     12 x x ÷ 24 × (33 + 22 ×
4
5
) = x ÷
781
10
× (33 + 22 ×
4
5
)
53
100
÷
781
10
× (33 + 22 ×
4
5
)
    The equation is reduced to :
     12 x x ×
1
24
(33 + 22 ×
4
5
) = x ×
10
781
(33 + 22 ×
4
5
)
53
7810
(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 ×
10
781
(33 + 22 ×
4
5
)
53
7810
(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 ×
10
781
× 33 + x ×
10
781
× 22 ×
4
5
53
7810
(33 + 22 ×
4
5
)
    The equation is reduced to :
     12 x x ×
11
8
x ×
11
15
= x ×
30
71
+ x ×
16
71
53
7810
(33 + 22 ×
4
5
)
    The equation is reduced to :
     12
373
120
x =
46
71
x
53
7810
(33 + 22 ×
4
5
)
    Remove a bracket on the right of the equation::
     12
373
120
x =
46
71
x
53
7810
× 33
53
7810
× 22 ×
4
5
    The equation is reduced to :
     12
373
120
x =
46
71
x
159
710
212
1775
    The equation is reduced to :
     12
373
120
x =
46
71
x
1219
3550

    Transposition :
      -
373
120
x
46
71
x = -
1219
3550
12

    Combine the items on the left of the equation:
      -
32003
8520
x = -
1219
3550
12

    Combine the items on the right of the equation:
      -
32003
8520
x = -
43819
3550

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
43819
3550
=
32003
8520
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 :
     
32003
8520
x =
43819
3550

    The coefficient of the unknown number is reduced to 1 :
      x =
43819
3550
÷
32003
8520
        =
43819
3550
×
8520
32003
        =
43819
355
×
852
32003

    We obtained :
      x =
37333788
11361065
    This is the solution of the equation.

    By reducing fraction, we can get:
      x =
525828
160015

    Convert the result to decimal form :
      x = 3.286117



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