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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 (0.4x+14)➗(0.6x+6) = 1.2 .
    Question type: Equation
    Solution:Original question:
     (
2
5
x + 14) ÷ (
3
5
x + 6) =
6
5
     Multiply both sides of the equation by:(
3
5
x + 6)
     (
2
5
x + 14) =
6
5
(
3
5
x + 6)
    Remove a bracket on the left of the equation::
     
2
5
x + 14 =
6
5
(
3
5
x + 6)
    Remove a bracket on the right of the equation::
     
2
5
x + 14 =
6
5
×
3
5
x +
6
5
× 6
    The equation is reduced to :
     
2
5
x + 14 =
18
25
x +
36
5

    Transposition :
     
2
5
x
18
25
x =
36
5
14

    Combine the items on the left of the equation:
      -
8
25
x =
36
5
14

    Combine the items on the right of the equation:
      -
8
25
x = -
34
5

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     
34
5
=
8
25
x

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     
8
25
x =
34
5

    The coefficient of the unknown number is reduced to 1 :
      x =
34
5
÷
8
25
        =
34
5
×
25
8
        = 17 ×
5
4

    We obtained :
      x =
85
4
    This is the solution of the equation.

    Convert the result to decimal form :
      x = 21.25




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