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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 (145.5+375.5)/31*x+146/31*(x+15)+93/31(x+30) = 1410 .
    Question type: Equation
    Solution:Original question:
     (
291
2
 +
751
2
) ÷ 31 × x + 146 ÷ 31 × ( x + 15) + 93 ÷ 31 × ( x + 30) = 1410
     Left side of the equation = (
291
2
 +
751
2
) ×
1
31
 x +
146
31
( x + 15) + 3( x + 30)
    The equation is transformed into :
     (
291
2
 +
751
2
) ×
1
31
 x +
146
31
( x + 15) + 3( x + 30) = 1410
    Remove the bracket on the left of the equation:
     Left side of the equation =
291
2
 ×
1
31
 x +
751
2
 ×
1
31
 x +
146
31
( x + 15) + 3( x + 30)
                                             =
291
62
 x +
751
62
 x +
146
31
( x + 15) + 3( x + 30)
                                             =
521
31
 x +
146
31
( x + 15) + 3( x + 30)
                                             =
521
31
 x +
146
31
 x +
146
31
 × 15 + 3( x + 30)
                                             =
521
31
 x +
146
31
 x +
2190
31
 + 3( x + 30)
                                             =
667
31
 x +
2190
31
 + 3( x + 30)
                                             =
667
31
 x +
2190
31
 + 3 x + 3 × 30
                                             =
667
31
 x +
2190
31
 + 3 x + 90
                                             =
760
31
 x +
4980
31
    The equation is transformed into :
     
760
31
 x +
4980
31
 = 1410

    Transposition :
     
760
31
 x = 1410 −
4980
31

    Combine the items on the right of the equation:
     
760
31
 x =
38730
31

    The coefficient of the unknown number is reduced to 1 :
      x =
38730
31
 ÷
760
31
        =
38730
31
 ×
31
760
        = 3873 ×
1
76

    We obtained :
      x =
3873
76
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 50.960526



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