Question 348998
I could not tell if your problem read 6-5/x+3 or 6 - (5/x+3); so I did it both ways.


6-((5)/(x+3))

Multiply -1 by the (5)/((x+3)) inside the parentheses.
6-(5)/(x+3)

Multiply each term by a factor of 1 that will equate all the denominators.  In this case, all terms need a denominator of (x+3).
6*(x+3)/(x+3)-(5)/(x+3)

Multiply the expression by a factor of 1 to create the least common denominator (LCD) of (x+3).
(6(x+3))/(x+3)-(5)/(x+3)

The numerators of expressions that have equal denominators can be combined.  In this case, ((6(x+3)))/((x+3)) and -(5)/((x+3)) have the same denominator of (x+3), so the numerators can be combined.
((6(x+3))-5)/(x+3)

Simplify the numerator of the expression.
(6x+18-5)/(x+3)

Subtract 5 from 18 to get 13.
(6x+13)/(x+3)




If it was the other:

(6-5)/(x+3)

Subtract 5 from 6 to get 1.
(1)/(x+3) is your answer