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where are the statements?

It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

hello.........

if you get x = something
then one solution

\[\huge\rm \color{blue}{3x − 3x }\color{reD}{− 2 = −2}\]combine like terms

3x − 3x − 2 = −2
no solution
add 2 on both sides
3x-3x=-2+2
0=0

nice try ...

but guess what

what

what's your answer ?

no solution

alright then.

is it right

I believe you didn't read my first comment

wdy mean

@sweetburger can you check this out

3x-3x = ?

what's that ?

one solution

so @Nnesha what is the value of x..
you say many solution

i am confused

if you get equal sides then infinitely many solutions
if both sides are not equal then no solution

you got -2=-2 both sides are equal so answer is ?

only tell me what is the value of x..

so there is one solution

no

it is zero

x cancels out right
you get -2=-2 equal sides

let me repeat t
if both sides are equal like 4=4 then your answer would be infinitely many solutions

@Nnesha you mean no value of x..
you said previous comment in many solution..
so what solution

oh

4=9 no solution
x= something , one solution
4=4 infinitely many solution

so what do you think ?

many solutions

thats right!

thank you

Yw

no the answer is..
no solution

how is it no solution ?

3x-3x=0
so that the variable is the cancle out

okay you will get 0=0 so thats mean both sides are equal

soooo

so what ?

......

repeating when you get equal sides 't the end then infinitely many solution
believe it or NOT

not

as you wish, sir

AS you wsih @Nnesha expert

you can tag some expert here i wouldn't mind ..

yes i have no mind..
i clear the concept

i think both are true..
some expert say no solution..
and some one is many

well you can plug in any number you will get equal sides so thats means infinitely many solution

http://www.purplemath.com/modules/solvelin4.htm
@Nnesha expert you can see it

so http://prntscr.com/7yn3yb solution is all x
thats mean any number can be x

http://prntscr.com/7yn46i

so the finally answer is..
this is no solution for this equation..
but many solution for all x

@Nnesha are you clear

wait what ?

x can be any number
so infinitely many solution :=)

yes i agree many solution for x..
but there is no solution for equation

ohhhhhhhhhhhhhhhh

as you wish

as you wish ?
no
thats how it works *mathematically*