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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 (72.5+167)/31*x+118/30*(x+15)+59/30*(x+30) = 883 .
    Question type: Equation
    Solution:Original question:
     (
145
2
+ 167) ÷ 31 × x + 118 ÷ 30 × ( x + 15) + 59 ÷ 30 × ( x + 30) = 883
     Left side of the equation = (
145
2
+ 167) ×
1
31
x +
59
15
( x + 15) +
59
30
( x + 30)
    The equation is transformed into :
     (
145
2
+ 167) ×
1
31
x +
59
15
( x + 15) +
59
30
( x + 30) = 883
    Remove the bracket on the left of the equation:
     Left side of the equation =
145
2
×
1
31
x + 167 ×
1
31
x +
59
15
( x + 15) +
59
30
( x + 30)
                                             =
145
62
x +
167
31
x +
59
15
( x + 15) +
59
30
( x + 30)
                                             =
479
62
x +
59
15
( x + 15) +
59
30
( x + 30)
                                             =
479
62
x +
59
15
x +
59
15
× 15 +
59
30
( x + 30)
                                             =
479
62
x +
59
15
x + 59 +
59
30
( x + 30)
                                             =
10843
930
x + 59 +
59
30
( x + 30)
                                             =
10843
930
x + 59 +
59
30
x +
59
30
× 30
                                             =
10843
930
x + 59 +
59
30
x + 59
                                             =
2112
155
x + 118
    The equation is transformed into :
     
2112
155
x + 118 = 883

    Transposition :
     
2112
155
x = 883118

    Combine the items on the right of the equation:
     
2112
155
x = 765

    The coefficient of the unknown number is reduced to 1 :
      x = 765 ÷
2112
155
        = 765 ×
155
2112
        = 255 ×
155
704

    We obtained :
      x =
39525
704
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 56.143466



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