How do I simplify this algebraic expression?

= 1/3(x + 2) - 1/3(x + 3)

= 1/3x + 2/3 - 1/3x - 3/3

= - 1/3

Answer: - 1/3

x/3 + 2/3 - x/3 + 1

x/3 +2/3 - x/3 - 1= -1/3

=1/3(2-3)=-1/3

Expand first by removing brackets:

(1/3)x + 2/3 - (1/3)x - 1 = (1/3)x - (1/3)x + 2/3 - 1

= 0 - 1/3

= -1/3

well a 1/3 - 1/3 = 0

(x+2) - (x+3)

= x - (x - 1)

thats simplified

so x = -1 but thats solving it

take 1/3 out as common factor

=1/3(x +2 - x -3)

=1/3(0 - 1)

= -1/3

QED

x/3 + 2/3 - x/3 - 3,

cancel the x/3 it becomes 2/3 - 3 = ?

it becomes

- 1/3

It's in simplest form when it can't be broken down any more. For example, if you have 4b^2+2b it could be simplified to 2b(2b+1) and that can't be broken down anymore! Good Luck!

take 1/3 out

1/3(x+2-(x+3))

=1/3(x+2-x-3)1/3(2-3)

=1/3(-1)

=-1/3