select the correct answer.\nthe difference of a number and 6 is the same as 5 times the sum of the number…

Explanation:

Step1: Let the number be $x$.

Set up the equation: $x - 6=5(x + 2)$.

Step2: Expand the right - hand side.

Using the distributive property $a(b + c)=ab+ac$, we get $x - 6 = 5x+10$.

Step3: Move $x$ terms to one side.

Subtract $x$ from both sides: $x - x-6=5x - x + 10$, which simplifies to $-6 = 4x+10$.

Step4: Move the constant to the other side.

Subtract 10 from both sides: $-6-10=4x+10 - 10$, so $-16 = 4x$.

Step5: Solve for $x$.

Divide both sides by 4: $\frac{-16}{4}=x$, so $x=-4$.

Answer:

A. -4