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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 23÷(12×4+5+16×5+23)×5.85 = 23÷(23+35.5)×5.85-x .
    Question type: Equation
    Solution:Original question:
     23 ÷ (12 × 4 + 5 + 16 × 5 + 23) ×
117
20
= 23 ÷ (23 +
71
2
) ×
117
20
x
     Multiply both sides of the equation by:(12 × 4 + 5 + 16 × 5 + 23) ,  (23 +
71
2
)
     23 ×
117
20
(23 +
71
2
) = 23 ×
117
20
(12 × 4 + 5 + 16 × 5 + 23) x (12 × 4 + 5 + 16 × 5 + 23)(23 +
71
2
)
    Remove a bracket on the left of the equation::
     23 ×
117
20
× 23 + 23 ×
117
20
×
71
2
= 23 ×
117
20
(12 × 4 + 5 + 16 × 5 + 23) x (12 × 4 + 5 + 16 × 5 + 23)(23 +
71
2
)
    Remove a bracket on the right of the equation::
     23 ×
117
20
× 23 + 23 ×
117
20
×
71
2
= 23 ×
117
20
× 12 × 4 + 23 ×
117
20
× 5 + 23 ×
117
20
× 16 × 5 + 23
    The equation is reduced to :
     
61893
20
+
191061
40
=
32292
5
+
2691
4
+ 10764 +
61893
20
x (12 × 4 + 5 + 16 × 5 + 23)(23 +
71
2
)
    The equation is reduced to :
     
314847
40
=
104949
5
x (12 × 4 + 5 + 16 × 5 + 23)(23 +
71
2
)
    Remove a bracket on the right of the equation::
     
314847
40
=
104949
5
x × 12 × 4(23 +
71
2
) x × 5(23 +
71
2
) x × 16 × 5(23 +
71
2
)
    The equation is reduced to :
     
314847
40
=
104949
5
x × 48(23 +
71
2
) x × 5(23 +
71
2
) x × 80(23 +
71
2
) x × 23
    Remove a bracket on the right of the equation::
     
314847
40
=
104949
5
x × 48 × 23 x × 48 ×
71
2
x × 5(23 +
71
2
) x × 80
    The equation is reduced to :
     
314847
40
=
104949
5
x × 1104 x × 1704 x × 5(23 +
71
2
) x × 80(23 +
71
2
) x
    The equation is reduced to :
     
314847
40
=
104949
5
2808 x x × 5(23 +
71
2
) x × 80(23 +
71
2
) x × 23(23 +
71
2
)
    Remove a bracket on the right of the equation::
     
314847
40
=
104949
5
2808 x x × 5 × 23 x × 5 ×
71
2
x × 80(23 +
71
2
)
    The equation is reduced to :
     
314847
40
=
104949
5
2808 x x × 115 x ×
355
2
x × 80(23 +
71
2
) x × 23
    The equation is reduced to :
     
314847
40
=
104949
5
6201
2
x x × 80(23 +
71
2
) x × 23(23 +
71
2
)
    Remove a bracket on the right of the equation::
     
314847
40
=
104949
5
6201
2
x x × 80 × 23 x × 80 ×
71
2
x × 23(23 +
71
2
)
    The equation is reduced to :
     
314847
40
=
104949
5
6201
2
x x × 1840 x × 2840 x × 23(23 +
71
2
)
    The equation is reduced to :
     
314847
40
=
104949
5
15561
2
x x × 23(23 +
71
2
)
    Remove a bracket on the right of the equation::
     
314847
40
=
104949
5
15561
2
x x × 23 × 23 x × 23 ×
71
2
    The equation is reduced to :
     
314847
40
=
104949
5
15561
2
x x × 529 x ×
1633
2
    The equation is reduced to :
     
314847
40
=
104949
5
9126 x

    Transposition :
     9126 x =
104949
5
314847
40

    Combine the items on the right of the equation:
     9126 x =
104949
8

    The coefficient of the unknown number is reduced to 1 :
      x =
104949
8
÷ 9126
        =
104949
8
×
1
9126
        =
23
8
×
1
2

    We obtained :
      x =
23
16
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 1.4375



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