How do you simplify #5 / (2(x-5)) + (3x) / (x-5)#?

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How do you simplify #5 / (2(x-5)) + (3x) / (x-5)#?

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Answer 1 · 2016-05-31T14:41:15

#(5+6x)/(2(x-5)#

Explanation:

Notes that the denominator in both elements of the expression contain #(x-5)# which is therefore a common factor. The expression can be written as
#(1/(x-5))(5/2+3x)#
#=(1/(x-5))(5+6x)/2#

#=(5+6x)/(2(x-5)#

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How do you simplify #5 / (2(x-5)) + (3x) / (x-5)#?

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