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

### 8 Answers

- PhilipLv 61 month ago
3x = x+24;

Subtracting x from both sides gives ;

2x = 24;

Division through by 2 gives;

x = 24. End of story.

- PhilomelLv 71 month ago
3x=x+24 subtract x from both sides of the =

3x=x+24

-x=-x

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

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

- lenpol7Lv 71 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'.

- PinkgreenLv 71 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)

- How do you think about the answers? You can sign in to vote the answer.
- MorningfoxLv 71 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.

- AshLv 71 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