Question
Solve Multi-Step Linear Equations Quick Check
3 of 53 of 5 Items
Question
Solve for x : 2x−4x−3=−27 .(1 point)
Responses
x=−4
x equals negative 4
x=−12
x equals negative 12
x=4
x equals 4
x=12
Answers
GPT-4o mini
To solve the equation \(2x - 4x - 3 = -27\), follow these steps:
1. Combine like terms on the left side:
\[
2x - 4x = -2x
\]
So the equation becomes:
\[
-2x - 3 = -27
\]
2. Add 3 to both sides to isolate the terms with \(x\):
\[
-2x - 3 + 3 = -27 + 3
\]
This simplifies to:
\[
-2x = -24
\]
3. Divide both sides by -2:
\[
x = \frac{-24}{-2} = 12
\]
Therefore, the solution is:
\[
x = 12
\]
The correct response is:
**x=12**
1. Combine like terms on the left side:
\[
2x - 4x = -2x
\]
So the equation becomes:
\[
-2x - 3 = -27
\]
2. Add 3 to both sides to isolate the terms with \(x\):
\[
-2x - 3 + 3 = -27 + 3
\]
This simplifies to:
\[
-2x = -24
\]
3. Divide both sides by -2:
\[
x = \frac{-24}{-2} = 12
\]
Therefore, the solution is:
\[
x = 12
\]
The correct response is:
**x=12**