ANSWER FOR THE BRAINLIEST ANSWER AND 15 POINTS! PLEASE EXPLAIN YOUR ANSWER!!!:-)))

ANSWER FOR THE BRAINLIEST ANSWER AND 15 POINTS! PLEASE EXPLAIN YOUR ANSWER!!!:-))) class=

Verified Answer :

Hello!
So, there is a rule that says if you are adding or subtracting something with a common denominator, you can put the numerators together and simplify.
\(\:\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\)
Which applying to your equation gives
\(=\frac{x-2+4x-4}{6x^2+6x}\)

which you then simplify to 
\(=\frac{5x-6}{6x^2+6x}\)

\(D. \: \frac{ 5x - 6}{6 {x}^{2} + 6x }\)

Step-by-step explanation:

\(\frac{ x - 2 + 4x - 4}{6 {x}^{2} + 6x }\)

\(\frac{ 5x - 6}{6 {x}^{2} + 6x }\)