ANSWER: The value of x that makes the given equation true is: B. -1/3
EXPLANATION:
1} First, we need to simplify both sides of the equation.
−8x−5(1−x)=6x−2
−8x+(−5)(1)+(−5)(−x)=6x+−2 [Note: We need to Distribute]
−8x+−5+5x=6x+−2
(−8x+5x)+(−5)=6x−2 [Note: We need to Combine Like Terms]
−3x+−5=6x−2
−3x−5=6x−2
2} Then, we need to subtract 6x from both sides.
−3x−5−6x=6x−2−6x
−9x−5=−2
3} Next, we need to add 5 to both sides.
−9x−5+5=−2+5
−9x=3
4} Finally, we need to divide both sides by -9.
-9x/-9 = 3/-9
x = -1/3
Therefore, the answer is B. -1/3
