To simplify the equation \(12 - 2(x+1) = 5\), let's work through the steps:
- Distribute \(-2\) into the parentheses:
\[ 12 - 2(x + 1) = 12 - 2x - 2 \] - Combine the constants \(12\) and \(-2\):
\[ 10 - 2x = 5 \] - Rearranging gives us:
\[ -2x + 10 = 5 \]
So, the simplified version of the equation \(12 - 2(x+1) = 5\) is \( -2x + 10 = 5\).
The correct option is A. -2x + 10 = 5.