3x = x + 24 2x = 24 x = 12 Why 2x = 24?

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  • Philip
    Lv 6
    1 month ago

    3x = x+24;

    Subtracting x from both sides gives  ;

    2x = 24;

    Division through by 2 gives;

    x = 24. End of story.

  • 1 month ago

    3x=x+24  subtract x from both sides of the =

    3x=x+24

    -x=-x

    ----------------

    2x=0+24 >>>2x=24

  • 1 month ago

    Why 2x = 24??? 

    Remember you MUST keep the equals (=) in balance. Its like an old fashioned weigh scales. 

    Subtract 'x' from both sides; This is like taking weights of the same mass from a weigh balance scales. 

    Hence 

    3x - x = x - x + 24 

    3x take away an 'x' leaves '2x' 

    & 'x' take away an 'x' leaves no 'x'.

    Hence 

    2x = 24 

    Keeping the weigh scales in balance, we divide both sides by '2' 

    2x/2 = 24/2

    Cancel down by '2' 

    x = 12 

    Hope that helps!!!! 

    Remember ,where the 'equals' is concerned, whatever you do to one side, you MUST do to the other, other wise the 'equals/weigh scales' is  'unequal/unbalanced'.  

  • 1 month ago

    3x=x+24

    =>

    3x-x=x+24-x

    (reduce x from both sides; the balance is

    still be kept)

    =>

    2x=24

    (x is cancelled on the right side)

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  • David
    Lv 7
    1 month ago

    If: 3x = x+24

    Deduct x from both sides: 2x = 24

    Divide both sides by 2: x = 12

  • 1 month ago

    3x = x + 24

    3x - x = x - x + 24

    2x = 24

  • 1 month ago

    If you start with an equation, you can do the same thing to both sides.  You can add the same thing, or subtract, or multiply, or divide. Except you can't divide by zero.

    Here we start with 3x = x + 24.

    Subtract "x" from both sides.

    3x minus x is 2x.

    On the right side, x minus x is zero.

    That gives us 2x = 0 + 24.

    And 0 + 24 is the same as 24.

  • Ash
    Lv 7
    1 month ago

    3x = x + 24

    We have to bring all x terms on one side and all  numbers on other

    So we subtract x on both sides

    3x - x = x + 24 - x

    2x = 24

    Now divide by 2 on both sides

    2x/2 = 24/2

    x = 12

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