To find an amplified version of the equation \(12 - 2(x + 1) = 5\), we can either multiply both sides of the equation by a constant or simply express it in a different form.
Let's first solve the equation and then amplify it.
Starting with: \[ 12 - 2(x + 1) = 5 \]
Distributing the -2: \[ 12 - 2x - 2 = 5 \]
Simplifying: \[ 10 - 2x = 5 \]
Next, we can isolate \(x\): \[ -2x = 5 - 10 \] \[ -2x = -5 \] \[ x = \frac{5}{2} \]
Now, to create an amplified version of the equation, we can multiply both sides by a constant, such as 2: \[ 2(12 - 2(x + 1)) = 2(5) \] This results in: \[ 24 - 4(x + 1) = 10 \]
So, the amplified version of the equation \(12 - 2(x + 1) = 5\) is: \[ 24 - 4(x + 1) = 10 \]