Question

6m – 2 = 10 – 6(2 – m)

Answer 1

Do you want to solve the equation ?

Answer 2

yes
do I distribute 1st

Answer 3

Yes, and then ?
tell us what you get !

Answer 4

6m-2=10-12m-6m

Answer 5

NO ! There is an error with the last sign
It is (+6m) not (-6m) because you have
\[-6\times(-m)\]

Answer 6

o

Answer 7

So, when you distribute the brackets you get :
\[6m – 2 = 10 -12 +6m\]

Answer 8

ok

Answer 9

is it m=4

Answer 10

You observe that 6m is in the two sides of the equality, so we delete it !
It remains :
\[-2=10-12\]
which is true !
So, The set of solution is the set of all real numbers !

Answer 11

ok

Answer 12

-2=-2

Answer 13

Yes, you get -2=-2, this means that the equation is always true for all value of m
So : The set of solution is the set of all real numbers !
In other words! :
\[S=\mathbb R\]