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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 (116.5+202)/28*x+180/28*(x+15)+112/28(x+30) = 2358 .
    Question type: Equation
    Solution:Original question:
     (
233
2
 + 202) ÷ 28 × x + 180 ÷ 28 × ( x + 15) + 112 ÷ 28 × ( x + 30) = 2358
     Left side of the equation = (
233
2
 + 202) ×
1
28
 x +
45
7
( x + 15) + 4( x + 30)
    The equation is transformed into :
     (
233
2
 + 202) ×
1
28
 x +
45
7
( x + 15) + 4( x + 30) = 2358
    Remove the bracket on the left of the equation:
     Left side of the equation =
233
2
 ×
1
28
 x + 202 ×
1
28
 x +
45
7
( x + 15) + 4( x + 30)
                                             =
233
56
 x +
101
14
 x +
45
7
( x + 15) + 4( x + 30)
                                             =
91
8
 x +
45
7
( x + 15) + 4( x + 30)
                                             =
91
8
 x +
45
7
 x +
45
7
 × 15 + 4( x + 30)
                                             =
91
8
 x +
45
7
 x +
675
7
 + 4( x + 30)
                                             =
997
56
 x +
675
7
 + 4( x + 30)
                                             =
997
56
 x +
675
7
 + 4 x + 4 × 30
                                             =
997
56
 x +
675
7
 + 4 x + 120
                                             =
1221
56
 x +
1515
7
    The equation is transformed into :
     
1221
56
 x +
1515
7
 = 2358

    Transposition :
     
1221
56
 x = 2358 −
1515
7

    Combine the items on the right of the equation:
     
1221
56
 x =
14991
7

    The coefficient of the unknown number is reduced to 1 :
      x =
14991
7
 ÷
1221
56
        =
14991
7
 ×
56
1221
        = 4997 ×
8
407

    We obtained :
      x =
39976
407
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 98.22113



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