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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 (385+135.5)/28*x+95/28*(x+15)+112/28*(x+30) = 750 .
    Question type: Equation
    Solution:Original question:
     (385 +
271
2
) ÷ 28 × x + 95 ÷ 28 × ( x + 15) + 112 ÷ 28 × ( x + 30) = 750
     Left side of the equation = (385 +
271
2
) ×
1
28
x +
95
28
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (385 +
271
2
) ×
1
28
x +
95
28
( x + 15) + 4( x + 30) = 750
    Remove the bracket on the left of the equation:
     Left side of the equation = 385 ×
1
28
x +
271
2
×
1
28
x +
95
28
( x + 15) + 4( x + 30)
                                             =
55
4
x +
271
56
x +
95
28
( x + 15) + 4( x + 30)
                                             =
1041
56
x +
95
28
( x + 15) + 4( x + 30)
                                             =
1041
56
x +
95
28
x +
95
28
× 15 + 4( x + 30)
                                             =
1041
56
x +
95
28
x +
1425
28
+ 4( x + 30)
                                             =
1231
56
x +
1425
28
+ 4( x + 30)
                                             =
1231
56
x +
1425
28
+ 4 x + 4 × 30
                                             =
1231
56
x +
1425
28
+ 4 x + 120
                                             =
1455
56
x +
4785
28
    The equation is transformed into :
     
1455
56
x +
4785
28
= 750

    Transposition :
     
1455
56
x = 750
4785
28

    Combine the items on the right of the equation:
     
1455
56
x =
16215
28

    The coefficient of the unknown number is reduced to 1 :
      x =
16215
28
÷
1455
56
        =
16215
28
×
56
1455
        = 1081 ×
2
97

    We obtained :
      x =
2162
97
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 22.28866



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