If you take 6/2x a step further, it's 2x/2x, since you can factor out the "6," to 2(1+2) & replace what's inside the parentheses with the variable "x." The term"2x" is a monomial, which never needs parentheses around it because a monomial is one term with a single value of the PRODUCT of the coefficient & the variable -- like saying "2 dozen," which everyone understands holds the value of 24.

Given that "x" does not equal zero, the monomial division of 2x divided by 2x (correctly written as 2x/2x or as 2x over 2x) always equals 1, because the like variables (the "x's") cancel out, leaving 2/2=1.

If you take 6/2x a step further, it's 2x/2x, since you can factor out the "6," to 2(1+2) & replace what's inside the parentheses with the variable "x." The term"2x" is a monomial, which never needs parentheses around it because a monomial is one term with a single value of the PRODUCT of the coefficient & the variable -- like saying "2 dozen," which everyone understands holds the value of 24.

Given that "x" does not equal zero, the monomial division of 2x divided by 2x (correctly written as 2x/2x or as 2x over 2x) always equals 1, because the like variables (the "x's") cancel out, leaving 2/2=1.

When x=(1+2), then 2x=6, so 2x/2x=6/6=1.