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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 0.3((x-50)/220+1)/(1+0.66) = (670+x+220-50)/(670+220-50) .
    Question type: Equation
    Solution:Original question:
     
3
10
(( x − 50) ÷ 220 + 1) ÷ (1 +
33
50
) = (670 + x + 220 − 50) ÷ (670 + 220 − 50)
     Multiply both sides of the equation by:(1 +
33
50
) ,  (670 + 220 − 50)
     
3
10
(( x − 50) ÷ 220 + 1)(670 + 220 − 50) = (670 + x + 220 − 50)(1 +
33
50
)
    Remove a bracket on the left of the equation:：
     
3
10
( x − 50) ÷ 220 × (670 + 220 − 50) +
3
10
 × 1(670 + 220 − 50) = (670 + x + 220 − 50)(1 +
33
50
)
    Remove a bracket on the right of the equation:：
     
3
10
( x − 50) ÷ 220 × (670 + 220 − 50) +
3
10
 × 1(670 + 220 − 50) = 670(1 +
33
50
) + x (1 +
33
50
) + 220(1 +
33
50
) − 50(1 +
33
50
)
    The equation is reduced to :
     
3
2200
( x − 50)(670 + 220 − 50) +
3
10
(670 + 220 − 50) = 670(1 +
33
50
) + x (1 +
33
50
) + 220(1 +
33
50
) − 50(1 +
33
50
)
    Remove a bracket on the left of the equation:
     
3
2200
 x (670 + 220 − 50) −
3
2200
 × 50(670 + 220 − 50) +
3
10
(670 + 220 − 50) = 670(1 +
33
50
) + x (1 +
33
50
) + 220(1 +
33
50
) − 50(1 +
33
50
)
    Remove a bracket on the right of the equation:：
     
3
2200
 x (670 + 220 − 50) −
3
2200
 × 50(670 + 220 − 50) +
3
10
(670 + 220 − 50) = 670 × 1 + 670 ×
33
50
 + x (1 +
33
50
) + 220(1 +
33
50
) − 50(1 +
33
50
)
    The equation is reduced to :
     
3
2200
 x (670 + 220 − 50) −
3
44
(670 + 220 − 50) +
3
10
(670 + 220 − 50) = 670 +
2211
5
 + x (1 +
33
50
) + 220(1 +
33
50
) − 50(1 +
33
50
)
    The equation is reduced to :
     
3
2200
 x (670 + 220 − 50) −
3
44
(670 + 220 − 50) +
3
10
(670 + 220 − 50) =
5561
5
 + x (1 +
33
50
) + 220(1 +
33
50
) − 50(1 +
33
50
)
    Remove a bracket on the left of the equation:
     
3
2200
 x × 670 +
3
2200
 x × 220 −
3
2200
 x × 50 −
3
44
(670 + 220 − 50) +
3
10
 =
5561
5
 + x (1 +
33
50
) + 220(1 +
33
50
) − 50(1 +
33
50
)
    Remove a bracket on the right of the equation:：
     
3
2200
 x × 670 +
3
2200
 x × 220 −
3
2200
 x × 50 −
3
44
(670 + 220 − 50) +
3
10
 =
5561
5
 + x × 1 + x ×
33
50
 + 220(1 +
33
50
) − 50(1 +
33
50
)
    The equation is reduced to :
     
201
220
 x +
3
10
 x −
3
44
 x −
3
44
(670 + 220 − 50) +
3
10
(670 + 220 − 50) =
5561
5
 + x × 1 + x ×
33
50
 + 220(1 +
33
50
) − 50(1 +
33
50
)
    The equation is reduced to :
     
63
55
 x −
3
44
(670 + 220 − 50) +
3
10
(670 + 220 − 50) =
5561
5
 +
83
50
 x + 220(1 +
33
50
) − 50(1 +
33
50
)
    Remove a bracket on the left of the equation:
     
63
55
 x −
3
44
 × 670 −
3
44
 × 220 +
3
44
 × 50 +
3
10
(670 + 220 − 50) =
5561
5
 +
83
50
 x + 220(1 +
33
50
) − 50(1 +
33
50
)
    Remove a bracket on the right of the equation:：
     
63
55
 x −
3
44
 × 670 −
3
44
 × 220 +
3
44
 × 50 +
3
10
(670 + 220 − 50) =
5561
5
 +
83
50
 x + 220 × 1 + 220 ×
33
50
 − 50(1 +
33
50
)
    The equation is reduced to :
     
63
55
 x −
1005
22
 − 15 +
75
22
 +
3
10
(670 + 220 − 50) =
5561
5
 +
83
50
 x + 220 +
726
5
 − 50(1 +
33
50
)
    The equation is reduced to :
     
63
55
 x −
630
11
 +
3
10
(670 + 220 − 50) =
7387
5
 +
83
50
 x − 50(1 +
33
50
)
    Remove a bracket on the left of the equation:
     
63
55
 x −
630
11
 +
3
10
 × 670 +
3
10
 × 220 −
3
10
 × 50 =
7387
5
 +
83
50
 x − 50(1 +
33
50
)
    Remove a bracket on the right of the equation:：
     
63
55
 x −
630
11
 +
3
10
 × 670 +
3
10
 × 220 −
3
10
 × 50 =
7387
5
 +
83
50
 x − 50 × 1 − 50 ×
33
50
    The equation is reduced to :
     
63
55
 x −
630
11
 + 201 + 66 − 15 =
7387
5
 +
83
50
 x − 50 − 33
    The equation is reduced to :
     
63
55
 x +
2142
11
 =
6972
5
 +
83
50
 x

    Transposition :
     
63
55
 x −
83
50
 x =
6972
5
 −
2142
11

    Combine the items on the left of the equation:
      -
283
550
 x =
6972
5
 −
2142
11

    Combine the items on the right of the equation:
      -
283
550
 x =
65982
55

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
      -
65982
55
 =
283
550
 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 :
     
283
550
 x = -
65982
55

    The coefficient of the unknown number is reduced to 1 :
      x = -
65982
55
 ÷
283
550
        = -
65982
55
 ×
550
283
        = - 65982 ×
10
283

    We obtained :
      x = -
659820
283
    This is the solution of the equation.

    Convert the result to decimal form :
      x = - 2331.519435



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