Final answer:
To solve the equation 2(1 - x) + 3 = -8, distribute the 2, combine like terms, move the constant term, and divide both sides by -2. The solution is x = 6.5.
Step-by-step explanation:
To solve the equation 2(1 - x) + 3 = -8, we will follow these steps:
- Distribute the 2 to both terms inside the parentheses: 2 - 2x + 3 = -8.
- Combine like terms: 5 - 2x = -8.
- Move the constant term to the other side of the equation by subtracting 5 from both sides: -2x = -8 - 5.
- Simplify: -2x = -13.
- Divide both sides by -2 to solve for x: x = -13 / -2 = 13/2 = 6.5.