Question

what is a simplified version of the equation: 12 - 2 (x + 1) = 5
1. -2x + 10 = 5
2. -2x + 13 =5
3. 10x + 1 = 5
4. 10x + 10 = 5

Answer 1

To simplify the equation \(12 - 2 (x + 1) = 5\), we follow these steps:

1. Distribute the -2 into the parentheses:
\[
12 - 2x - 2 = 5
\]

2. Combine like terms on the left side:
\[
10 - 2x = 5
\]

Now we have the equation \(10 - 2x = 5\).

Rearranging this equation gives us:
\[
-2x + 10 = 5
\]

Thus, the simplified version of the equation is:

1. \(-2x + 10 = 5\)

So the correct option is **1**.