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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 (195+306)/30*x+150/30*(x+15)+120/30(x+30) = 1255 .
    Question type: Equation
    Solution:Original question:
     (195 + 306) ÷ 30 × x + 150 ÷ 30 × ( x + 15) + 120 ÷ 30 × ( x + 30) = 1255
     Left side of the equation = (195 + 306) ×
1
30
 x + 5( x + 15) + 4( x + 30)
    The equation is transformed into :
     (195 + 306) ×
1
30
 x + 5( x + 15) + 4( x + 30) = 1255
    Remove the bracket on the left of the equation:
     Left side of the equation = 195 ×
1
30
 x + 306 ×
1
30
 x + 5( x + 15) + 4( x + 30)
                                             =
13
2
 x +
51
5
 x + 5( x + 15) + 4( x + 30)
                                             =
167
10
 x + 5( x + 15) + 4( x + 30)
                                             =
167
10
 x + 5 x + 5 × 15 + 4( x + 30)
                                             =
167
10
 x + 5 x + 75 + 4( x + 30)
                                             =
217
10
 x + 75 + 4( x + 30)
                                             =
217
10
 x + 75 + 4 x + 4 × 30
                                             =
217
10
 x + 75 + 4 x + 120
                                             =
257
10
 x + 195
    The equation is transformed into :
     
257
10
 x + 195 = 1255

    Transposition :
     
257
10
 x = 1255 − 195

    Combine the items on the right of the equation:
     
257
10
 x = 1060

    The coefficient of the unknown number is reduced to 1 :
      x = 1060 ÷
257
10
        = 1060 ×
10
257

    We obtained :
      x =
10600
257
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 41.245136



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