Add. Simplify, if possible.
-$$\frac { 3 x + 3 } { 2 x - 5 } + \frac { 2 - 8 x } { - 5 + 2 x }$$
A) $\frac { 5 x + 1 } { 2 x - 5 }$
B) $\frac { - 5 x + 5 } { 4 x - 10 }$
C) $\frac { - 5 x + 5 } { 2 x - 5 }$
D) $- \frac { 5 } { 2 } x - 1$

Question

Quizplus · Accepted Answer

To add the fractions, we need a common denominator. The denominators are $2x-5$ and $-5+2x$, which are negatives of each other. Therefore, the common denominator is $-(2x-5)$. We then have:
$$\frac{(3x+3)(-1)}{2x-5}+\frac{(2-8x)(-1)}{2x-5}=\frac{-3(x+1)-2(2x-1)}{2x-5}$$
Simplifying the numerator, we get:
$$\frac{-5x+5}{2x-5}$$
This matches choice C.

Add Simplify, If Possible 3x+32x−5+2−8x−5+2x\frac { 3 x + 3 } { 2 x - 5 } + \frac { 2 - 8 x } { - 5 + 2 x }2x−53x+3​+−5+2x2−8x​

Add Simplify, If Possible $\frac { 3 x + 3 } { 2 x - 5 } + \frac { 2 - 8 x } { - 5 + 2 x }$