Angie is solving the equation −x+7=−11

Question

. Her solution is as follows.

−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)

Answer 1

Angie made an error in the last step of her solution where she wrote \( x = -18 \).

Let's examine the solution step-by-step:

1. Start with the equation: \[ -x + 7 = -11 \]

2. Subtract 7 from both sides: \[ -x + 7 - 7 = -11 - 7 \] Simplifying this gives: \[ -x = -18 \]

3. To solve for \( x \), we need to multiply both sides by -1: \[ x = 18 \]

The mistake was that she neglected to change the sign of \( x \) when moving to the final answer. Thus, the correct solution is \( x = 18 \), not \( x = -18 \).