Question
Which is NOT a step in solving for x in the equation: 14x - 7 = 8(1 point)
Responses
subtracting 7 from both sides
subtracting 7 from both sides
dividing both sides by 14
dividing both sides by 14
canceling the 14s
canceling the 14s
adding 7 to both sides
Responses
subtracting 7 from both sides
subtracting 7 from both sides
dividing both sides by 14
dividing both sides by 14
canceling the 14s
canceling the 14s
adding 7 to both sides
Answers
GPT-4o mini
The step that is NOT involved in solving for \( x \) in the equation \( 14x - 7 = 8 \) is **adding 7 to both sides**.
To solve the equation correctly, you would:
1. Add 7 to both sides:
\[
14x - 7 + 7 = 8 + 7 \implies 14x = 15
\]
2. Then, divide both sides by 14:
\[
x = \frac{15}{14}
\]
However, the option "adding 7 to both sides" is technically involved in the process of solving the equation, but it appears as a misunderstanding since it might imply negating that step is also acceptable.
Ultimately, **canceling the 14s** is not an appropriate step because you need to actually divide to isolate \( x \). So the correct answer for what is NOT a legitimate step is **canceling the 14s**.
To solve the equation correctly, you would:
1. Add 7 to both sides:
\[
14x - 7 + 7 = 8 + 7 \implies 14x = 15
\]
2. Then, divide both sides by 14:
\[
x = \frac{15}{14}
\]
However, the option "adding 7 to both sides" is technically involved in the process of solving the equation, but it appears as a misunderstanding since it might imply negating that step is also acceptable.
Ultimately, **canceling the 14s** is not an appropriate step because you need to actually divide to isolate \( x \). So the correct answer for what is NOT a legitimate step is **canceling the 14s**.