How many solutions does the equation 2|x − 3| + 4 = 4 have?

Question

anonymous · Answer

You can start by subtracting 4 from both sides and then dividing by 2. What will you get?

anonymous · Answer

Are you aure? Because I thought you had to distribute 2, I don't know I am highly confused, sorry to come off mean.

anonymous · Answer

It would be easier the way I told you. Anyway, how do you think it should be solved?

anonymous · Answer

If you subtract 4 from both sides, you will have:
$$2|x-3|+4-4=4-4$$
$$2|x-3|=0$$
$$|x-3|=0$$
Then you use the property of the absolute value to get rid of it. The property says:
If $$|x|=a$$
then
$$x=a \ or \ x=-a$$
You apply it in this case to find the values for x

anonymous · Answer

@amistre64  Could you help please? I've got to go! Thank you very much!

amistre64 · Answer

when does x-3=0?

anonymous · Answer

So I tried to do the problem myself, and I got that it only has one soultion

anonymous · Answer

Is that right?

amistre64 · Answer

1 solution is correct

anonymous · Answer

Woo! thank you guys. Sorry I am a bit off when it comes to math.

amistre64 · Answer

practice helps ...