# How do you combine #(x+2)/(x-5)+(x-12)/(x-5)#?

##### 3 Answers

#### Explanation:

Since both denominators are the same, just combine the fraction, like so,

Open up the brackets,

#### Explanation:

Before we can add/subtract fractions we require them to have a

#color(blue)"common denominator"# These fractions have a common denominator ( x - 5) so we can add the numerators, leaving the denominator as it is.

#rArr(x+2+x-12)/(x-5)#

#=(2x-10)/(x-5)# The numerator can be simplified by taking out a

#color(blue)"common factor"#

#rArr(2x-10)/(x-5)=(2(cancel(x-5))^1)/cancel(x-5)^1#

#color(blue)"cancelling" " a common factor of " (x-5)#

#=2#