what value of x is in the solution set of the inequality -2(3x + 2) > -8x + 6?\n-6\n-5\n5\n6

Explanation:

Step1: Expand the left - hand side

$-2(3x + 2)=-6x-4$. So the inequality becomes $-6x - 4>-8x + 6$.

Step2: Add $8x$ to both sides

$-6x+8x - 4>-8x+8x + 6$, which simplifies to $2x-4>6$.

Step3: Add 4 to both sides

$2x-4 + 4>6 + 4$, resulting in $2x>10$.

Step4: Divide both sides by 2

$\frac{2x}{2}>\frac{10}{2}$, so $x > 5$.

Answer:

6