Question
Solve Multi-Step Linear Equations Quick Check
1 of 51 of 5 Items
Question
Solve for x
.
−4(2x−11)=12
(1 point)
Responses
x=4
x equals 4
x=2
x equals 2
x=−2
x equals negative 2
x=−4
Answers
GPT-4o mini
To solve the equation \(-4(2x - 11) = 12\), follow these steps:
1. Distribute \(-4\) on the left side:
\[
-4 \cdot 2x + 4 \cdot 11 = -8x + 44
\]
So, the equation becomes:
\[
-8x + 44 = 12
\]
2. Subtract \(44\) from both sides:
\[
-8x = 12 - 44
\]
\[
-8x = -32
\]
3. Divide by \(-8\):
\[
x = \frac{-32}{-8} = 4
\]
Thus, the solution is:
\[
x = 4
\]
The correct response is:
**x=4**
1. Distribute \(-4\) on the left side:
\[
-4 \cdot 2x + 4 \cdot 11 = -8x + 44
\]
So, the equation becomes:
\[
-8x + 44 = 12
\]
2. Subtract \(44\) from both sides:
\[
-8x = 12 - 44
\]
\[
-8x = -32
\]
3. Divide by \(-8\):
\[
x = \frac{-32}{-8} = 4
\]
Thus, the solution is:
\[
x = 4
\]
The correct response is:
**x=4**