Answer:
[tex]x = \frac{9}{5}[/tex] and x = -5
So the correct answer is letter B
Step-by-step explanation:
It is quite helpful to start this kind of problem from a simple example.
|a| = b is if a = b or if a = -b. |x| = 2 if x = 2 or if x = -2.
So in your question, we have:
a = 3(x + 1) - 5
b = -2x + 7
Applying like we saw in the bolded line, there are two solutions
Solution 1: |a| = b if a = b
a = b
3(x + 1) - 5 = -2x + 7
3x + 3 -5 = -2x + 7
3x - 2 = -2x + 7
3x + 2x = 7 + 2
5x = 9
[tex]x = \frac{9}{5}[/tex]
Solution 2: |a| = b if a = -b
a = -b
3(x + 1) - 5 = -(-2x + 7)
3x + 3 -5 = 2x - 7
3x - 2 = 2x - 7
3x - 2x = -7 + 2
x = -5
