Question

8
solve for x in the following equation.
$3(-3x - 8) = 3(-6x + 3)$
a. $-\frac{11}{9}$
b. $\frac{11}{3}$
c. $-\frac{5}{3}$
d. $-\frac{11}{3}$

Explanation:

Step1: Divide both sides by 3

$\frac{3(-3x - 8)}{3} = \frac{3(-6x + 3)}{3}$
Simplifies to: $-3x - 8 = -6x + 3$

Step2: Add $6x$ to both sides

$-3x + 6x - 8 = -6x + 6x + 3$
Simplifies to: $3x - 8 = 3$

Step3: Add 8 to both sides

$3x - 8 + 8 = 3 + 8$
Simplifies to: $3x = 11$

Step4: Divide by 3 to solve for x

$x = \frac{11}{3}$

Answer:

B. $\frac{11}{3}$