Which of the following is a simplified version of 12 - 2(x + 1)= 5?

Question

A. -2x + 10 =5

B. -2x + 13 = 5

C. 10x + 1 = 5

D. 10x + 10 = 5

Answer 1

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

1. Distribute \(-2\) in the expression \(-2(x + 1)\): \[ -2(x + 1) = -2x - 2 \]

2. The equation now looks like this: \[ 12 - 2x - 2 = 5 \]

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

4. Rearranging, we can move \(10\) to the right side: \[ -2x = 5 - 10 \] \[ -2x = -5 \]

This gives us the equation in the simplified form.

To match this with the options provided, we note that \(-2x = -5\) can be rewritten as: \[ -2x + 5 = 0 \] or equivalently by moving all terms to one side: \[ -2x + 5 = 0 \] or \[ -2x + 10 = 5 \]

So the simplified version is: A. -2x + 10 = 5.