Question

What number is x if |x + 2| = |x - 5|?

• A. 3/2
• B. 5/2
• C. 7/2
• D. 1/2

Answer 1

Answer:

A. 3/2

1. Start with the equation: ∣x+2∣=∣x−5∣

2. Square both sides to eliminate the absolute value signs: (x+2)²=(x−5)²

3. Expand both sides of the equation: x²+4x+4=x²−10x+25

4. Subtract x² from both sides: 4x+4=−10x+25

5. Add 10x to both sides and subtract 4 from both sides: 4x+10x=25−4

6. 14x=21

7. Divide by 14 to solve for x: x=21​/14=3/2​