Angie is solving the equation −x+7=−11 . Her solution is as follows.

Question

−x+7 = −11
−7 −7 Subtract 7 from both sides.
x = −18 −11−7=−18 .
In which part of the solution, if any, did Angie make an error?

(1 point)
Responses

She subtracted −11 and −7 incorrectly.
She subtracted negative 11 and negative 7 incorrectly.

She subtracted 7 from both sides.
She subtracted 7 from both sides.

She did not make any errors.
She did not make any errors.

She did not divide both sides by −1.

Answer 1

Angie made an error in her solution when she calculated the right side after subtracting 7 from both sides. The correct step after subtracting 7 from both sides should be:

\[ −x + 7 - 7 = -11 - 7 \]

This simplifies to:

\[ −x = -18 \]

Then, when solving for \( x \), she should multiply both sides by \(-1\) to get:

\[ x = 18 \]

Thus, the correct option is:

She did not divide both sides by −1.

This reflects that she failed to properly solve for \( x \) after her calculations.