Question
Solve Multi-Step Linear Equations Quick Check
2 of 52 of 5 Items
Question
Solve for x
.
−3(−4x−3)=−27
(1 point)
Responses
x=−3
x equals negative 3
x=3
x equals 3
x=2
x equals 2
x=−2
Answers
GPT-4o mini
To solve the equation \(-3(-4x - 3) = -27\), follow these steps:
1. Distribute the \(-3\) on the left side of the equation:
\[
-3 \cdot -4x - 3 \cdot -3 = 12x + 9
\]
This gives us:
\[
12x + 9 = -27
\]
2. Next, subtract \(9\) from both sides of the equation:
\[
12x + 9 - 9 = -27 - 9
\]
Simplifying that results in:
\[
12x = -36
\]
3. Finally, divide both sides by \(12\):
\[
x = \frac{-36}{12} = -3
\]
Thus, the solution is:
\[
\boxed{x = -3}
\]
The correct response would be: **x=−3**.
1. Distribute the \(-3\) on the left side of the equation:
\[
-3 \cdot -4x - 3 \cdot -3 = 12x + 9
\]
This gives us:
\[
12x + 9 = -27
\]
2. Next, subtract \(9\) from both sides of the equation:
\[
12x + 9 - 9 = -27 - 9
\]
Simplifying that results in:
\[
12x = -36
\]
3. Finally, divide both sides by \(12\):
\[
x = \frac{-36}{12} = -3
\]
Thus, the solution is:
\[
\boxed{x = -3}
\]
The correct response would be: **x=−3**.