Solve for x

Question

. 

−3(−4x−3)=−27

(1 point)
Responses

x=3
x equals 3

x=−3
x equals negative 3

x=−2
x equals negative 2

x=2

Answer 1

To solve the equation $-3(-4x-3)=-27$, we can start by distributing the $-3$ on the left side:

$$-3\cdot -4x-3\cdot -3=12x+9$$

Now, the equation is:

$$12x+9=-27$$

Next, we can isolate $12x$ by subtracting $9$ from both sides:

$$12x=-27-9$$ $$12x=-36$$

Now, divide both sides by $12$:

$$x=\frac{-36}{12}$$ $$x=-3$$

So, the solution is:

$$\boxed{{\displaystyle -3}}$$

Thus, the response is $x=-3$ or $x$ equals negative 3.