8x-3(2x+4)=2(x-12) what is x?

Question

parthkohli · Answer

$x$ is the 24th letter of the English alphabet.

skullpatrol · Answer

Do you know how to solve for x?

anonymous · Answer

there is no root for this equation

skullpatrol · Answer

$$8x-3(2x+4)=2(x-12)$$

anonymous · Answer

@parthkohli :you deserve 5 medals and a pat on the back!

anonymous · Answer

$$S = \emptyset$$

anonymous · Answer

so all real numbers or no solution ??

skullpatrol · Answer

What do you think?

anonymous · Answer

mmmmmhh all real numbers

skullpatrol · Answer

Why?

anonymous · Answer

no solution

skullpatrol · Answer

Just giving the answer does not help.

skullpatrol · Answer

You must know why.

anonymous · Answer

i presume its 'all real numbers' bc after i distributed and got rid of parts of the equation i got left at 
8x+4=8x-12 (and if i eliminate like this)
-8x     -8x

ughhhhh im lost...

skullpatrol · Answer

Don't get discouraged you are doing fine, now reason it out...

anonymous · Answer

$$8x-3(2x+4)=2(x-12) <=> 2x-12=2(x-12) <=> -12=-24 $$

anonymous · Answer

idk how to go from there would i have

x+4=x-12?

anonymous · Answer

thanks @Hamza-Lol but i want to learn how to do it.

skullpatrol · Answer

What happens when you subtract x from both sides? $$x+4=x-12$$

anonymous · Answer

it cancels out?

skullpatrol · Answer

True, and what equation are you left with?

anonymous · Answer

4=-12 right?

skullpatrol · Answer

Yes.

anonymous · Answer

which makes it unsolvable

skullpatrol · Answer

Not quite.

anonymous · Answer

grr okay so we got 4=-12 either we divide that or since we dont have an x to solve , we cant solve it and i put x=0 :D ,right?

skullpatrol · Answer

We don't use the word "unsolvable."

skullpatrol · Answer

Do you know what a solution set is?

anonymous · Answer

ohh i get you, teehee good one, but that equation reached it peak right? Making it a 'no solution' like O'boy said?

anonymous · Answer

idk what were we calling it in highschool but it  makes no sens

anonymous · Answer

no explain please!

skullpatrol · Answer

A solution set is the set of all solutions of an equation. For example if your equation is $$x=4$$ then the solution set of this equation is {4} because if I replace x with 4 I get the true statement $$4=4$$ Do you understand me so far?

anonymous · Answer

yess!! but we have a false statement

skullpatrol · Answer

Now in your question the equation is $$8x-3(2x+4)=2(x-12)$$ and this simplifies to the equation $$4=-12$$ which, as you say, is a false statement.

 Therefore, the solution set of the original equation has no values of x in it that will make it a true statement.

 Thus the solution set is empty and this is shown by {} or you could say "no solution."

anonymous · Answer

wow never thought id get it! thank you !!!!!!!

skullpatrol · Answer

If you are you ready to test you understanding: solve for x $$2x +3= 2x +3$$

anonymous · Answer

3=2 no solution :F

anonymous · Answer

oh no wait i read wrong 3=3 meaning its a true statement

skullpatrol · Answer

Yes.

anonymous · Answer

yay ! thank you ! i still need to get to used to these types of equations!

skullpatrol · Answer

What is the solution set?

anonymous · Answer

no solution ?

skullpatrol · Answer

Why?

anonymous · Answer

because x has no value :S

skullpatrol · Answer

BTW what grade/age level are you?

anonymous · Answer

tooooooo embarrassed to say!

skullpatrol · Answer

Ok that's fine... "no solution" means the solution set is empty, that is because no number will make the equation true.

anonymous · Answer

but ill tell you that my packet is algebra 1a1, meaning pre-algebra :( im not great with math, whats your grade level do you tutor??? or u just go on here to help?

skullpatrol · Answer

"all real numbers" means the solution set contains all the real numbers and you can write it as {real numbers} this is the answer to what is the solution set of $$2x+3=2x+3$$ because the equation simplifies to $$x=x$$ which is true for all real numbers.

anonymous · Answer

i get it thanks again!