Question
Solving Linear Equations Online Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
5 of 155 of 15 Items
Question
Solve for x
: −4(2x−11)+7=19
. (1 point)
Responses
x=2
x equals 2
x=−4
x equals negative 4
x=−2
x equals negative 2
x=4
x equals 4
Answers
GPT-4o mini
To solve the equation \(-4(2x - 11) + 7 = 19\), we can follow these steps:
1. Distribute the \(-4\) to the terms inside the parentheses:
\[
-4 \cdot 2x + 44 + 7 = 19
\]
This simplifies to:
\[
-8x + 44 + 7 = 19
\]
2. Combine the constants on the left side:
\[
-8x + 51 = 19
\]
3. Subtract 51 from both sides:
\[
-8x = 19 - 51
\]
This results in:
\[
-8x = -32
\]
4. Divide by \(-8\):
\[
x = \frac{-32}{-8} = 4
\]
The solution is \(x = 4\).
So the correct response is:
**x = 4**
1. Distribute the \(-4\) to the terms inside the parentheses:
\[
-4 \cdot 2x + 44 + 7 = 19
\]
This simplifies to:
\[
-8x + 44 + 7 = 19
\]
2. Combine the constants on the left side:
\[
-8x + 51 = 19
\]
3. Subtract 51 from both sides:
\[
-8x = 19 - 51
\]
This results in:
\[
-8x = -32
\]
4. Divide by \(-8\):
\[
x = \frac{-32}{-8} = 4
\]
The solution is \(x = 4\).
So the correct response is:
**x = 4**