Final answer:
The solution to the equation 2 - 1.8(-x - 2) = 1.9x is found by distributing the -1.8, combining like terms, and simplifying to solve for x. The correct answer is x = 56, which is not reflected in any of the given options A, B, C, or D.
Step-by-step explanation:
To solve the equation 2 - 1.8(-x - 2) = 1.9x for x, follow these steps:
- Distribute -1.8 inside the parentheses to get: 2 + 1.8x + 3.6 = 1.9x.
- Combine like terms: 5.6 = 1.9x - 1.8x.
- Simplify the equation: 5.6 = 0.1x.
- Divide both sides by 0.1 to solve for x: x = 56.
However, it is important to note that no solution from the given options (A, B, C, and D) matches our result. There could be a mistake in the initial question or in the provided options.