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    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
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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 (166+291)/30*x+159/30*(x+15)+120/30(x+30) = 895 .
    Question type: Equation
    Solution:Original question:
     (166 + 291) ÷ 30 × x + 159 ÷ 30 × ( x + 15) + 120 ÷ 30 × ( x + 30) = 895
     Left side of the equation = (166 + 291) ×
1
30
x +
53
10
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (166 + 291) ×
1
30
x +
53
10
( x + 15) + 4( x + 30) = 895
    Remove the bracket on the left of the equation:
     Left side of the equation = 166 ×
1
30
x + 291 ×
1
30
x +
53
10
( x + 15) + 4( x + 30)
                                             =
83
15
x +
97
10
x +
53
10
( x + 15) + 4( x + 30)
                                             =
457
30
x +
53
10
( x + 15) + 4( x + 30)
                                             =
457
30
x +
53
10
x +
53
10
× 15 + 4( x + 30)
                                             =
457
30
x +
53
10
x +
159
2
+ 4( x + 30)
                                             =
308
15
x +
159
2
+ 4( x + 30)
                                             =
308
15
x +
159
2
+ 4 x + 4 × 30
                                             =
308
15
x +
159
2
+ 4 x + 120
                                             =
368
15
x +
399
2
    The equation is transformed into :
     
368
15
x +
399
2
= 895

    Transposition :
     
368
15
x = 895
399
2

    Combine the items on the right of the equation:
     
368
15
x =
1391
2

    The coefficient of the unknown number is reduced to 1 :
      x =
1391
2
÷
368
15
        =
1391
2
×
15
368

    We obtained :
      x =
20865
736
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 28.349185



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