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current location:Mathematical operation > History of Inequality Computation > Answer
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           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (0.6x+6)➗(0.4x+14) = 1.2 .
    Question type: Equation
    Solution:Original question:
     (
3
5
x + 6) ÷ (
2
5
x + 14) =
6
5
     Multiply both sides of the equation by:(
2
5
x + 14)
     (
3
5
x + 6) =
6
5
(
2
5
x + 14)
    Remove a bracket on the left of the equation::
     
3
5
x + 6 =
6
5
(
2
5
x + 14)
    Remove a bracket on the right of the equation::
     
3
5
x + 6 =
6
5
×
2
5
x +
6
5
× 14
    The equation is reduced to :
     
3
5
x + 6 =
12
25
x +
84
5

    Transposition :
     
3
5
x
12
25
x =
84
5
6

    Combine the items on the left of the equation:
     
3
25
x =
84
5
6

    Combine the items on the right of the equation:
     
3
25
x =
54
5

    The coefficient of the unknown number is reduced to 1 :
      x =
54
5
÷
3
25
        =
54
5
×
25
3
        = 18 × 5

    We obtained :
      x = 90
    This is the solution of the equation.




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