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current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (42+50+X)/3*0.5+(X*0.5) = 50 .
    Question type: Equation
    Solution:Original question:
     (42 + 50 + X ) ÷ 3 ×
1
2
 + ( X ×
1
2
) = 50
     Left side of the equation = (42 + 50 + X ) ×
1
6
 + ( X ×
1
2
)
    The equation is transformed into :
     (42 + 50 + X ) ×
1
6
 + ( X ×
1
2
) = 50
    Remove the bracket on the left of the equation:
     Left side of the equation = 42 ×
1
6
 + 50 ×
1
6
 + X ×
1
6
 + ( X ×
1
2
)
                                             = 7 +
25
3
 + X ×
1
6
 + ( X ×
1
2
)
                                             =
46
3
 +
1
6
 X + ( X ×
1
2
)
                                             =
46
3
 +
1
6
 X + X ×
1
2
                                             =
46
3
 +
2
3
 X
    The equation is transformed into :
     
46
3
 +
2
3
 X = 50

    Transposition :
     
2
3
 X = 50 −
46
3

    Combine the items on the right of the equation:
     
2
3
 X =
104
3

    The coefficient of the unknown number is reduced to 1 :
      X =
104
3
 ÷
2
3
        =
104
3
 ×
3
2
        = 52 × 1

    We obtained :
      X = 52
    This is the solution of the equation.




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