Please help me !!!!
Describe all numbers x that are a distance of 6 from the number -3.
Can you please find short cut of this problem is there is , Thanks.

Question

Please help me !!!!
 Describe all numbers x that are a distance of 6 from the number -3. 
 Can you please find short cut of this problem is there is , Thanks.

zzr0ck3r · Answer

$|x-(-3)|=6$

marcelie · Answer

Are there two solutions to this problem ?

zzr0ck3r · Answer

yes

$|x+3|=6$ implies $x+3=6$ and $-(x+3)=6$

marcelie · Answer

Where did the - ( x+3)= 6  came from?  Where did the negative come from?

zzr0ck3r · Answer

$|a|=b$ implies $a=b$ and $-a=b$. This is how you solve these.

Think of this

$|x|=3$. The answers are $x=3$ and $x=-3$. Because $|3|=|-3|=3$.

marcelie · Answer

is the answer x=3 and x=-9 ?

zzr0ck3r · Answer

correct

marcelie · Answer

Can you explain me the steps to this problem ? please.

marcelie · Answer

Is there a particular formula for this problem ?

marcelie · Answer

Can i think of the equation as  6-3 = 3 and 6+3 = -9 ?