A student solved the equation: x+2(x+1)=17

Question

Line 1: x+2x+1=17

Line 2: 3x+1=17

Line 3: 3x=16

Line 4: x=16/3

(3 points)
Put responses in the correct input to answer the question.

Identify the Property used to go from Line 2 to Line 3: Response area

Which line has a mistake? Response area

What should have been the correct answer for the equation?

Answer 1

1. Identify the Property used to go from Line 2 to Line 3: Subtraction Property of Equality

2. Which line has a mistake? Line 4

3. What should have been the correct answer for the equation? \( x = 5 \)

To clarify, the correct solution to the equation \( x + 2(x + 1) = 17 \) should simplify to \( x + 2x + 2 = 17 \), leading to \( 3x + 2 = 17 \), and then correctly solving gives \( 3x = 15 \), so \( x = 5 \).