Final answer:
By combining like terms in the equation (2x - 5) + (75) + (0.5x + 30) = 180, and then solving for x, we find that the value of x is 32.
Step-by-step explanation:
To find the value of x in the equation (2x - 5) + (75) + (0.5x + 30) = 180, we'll first combine like terms:
- Combine the x terms: 2x and 0.5x to get 2.5x.
- Combine the constant terms: -5, 75, and 30 to get 100.
- This gives us the simplified equation 2.5x + 100 = 180.
- We then subtract 100 from both sides: 2.5x = 80.
- Lastly, we divide both sides by 2.5 to find x: x = 32.
The correct answer is B) 32.