Final answer:
Option C is the correct answer as its simplified form (-3x = -5) is equivalent to the simplified version of Equation 1 (-3x - 5).
Step-by-step explanation:
The question asks which of the given equations has the same solution as Equation 1: X - 3 - 2 - 4x. Let's simplify Equation 1 by combining like terms:
X - 3 - 2 - 4x = -3x - 5.
Now we'll examine each option:
- A. 2x - 6 - 4 - 8x = -6x - 10, which is not equivalent to -3x - 5.
- B. X - 5 = -4x, adding 4x to both sides gives 5x - 5, which is still not equivalent to -3x - 5.
- C. (2 - 2x) = x - 3, rearranging this gives -3x + 2 = -3, subtracting 2 from both sides gives -3x = -5, which is equivalent to -3x - 5. So this is the correct answer.
- D. -3 - 2 - 5 = 8, does not contain an x term, so it cannot be equivalent to -3x - 5.
Option C is the correct answer because, after simplification and rearrangement, it is equivalent to the simplified version of Equation 1.