Question

4x - 12 = 12 - 4x

Explanation:

Step1: Rearrange the equation

The given equation is \(4x - 12 = 12 - 4x\). First, we add \(4x\) to both sides to get all \(x\) terms on one side. So, \(4x + 4x - 12 = 12 - 4x + 4x\), which simplifies to \(8x - 12 = 12\).

Step2: Isolate the \(x\) term

Next, we add 12 to both sides: \(8x - 12 + 12 = 12 + 12\), which gives \(8x = 24\).

Step3: Solve for \(x\)

Then, we divide both sides by 8: \(\frac{8x}{8}=\frac{24}{8}\), so \(x = 3\).

Answer:

\(x = 3\)