Certainly! Let's solve the following problem step by step: **Problem:** Solve for \(x\): \(2(x - 3) + 4 = 12\) --- ## Step 1: Distribute First, distribute the 2 across the parentheses: \(2(x - 3) + 4 = 12\) This gives: \(2x - 6 + 4 = 12\) --- ## Step 2: Combine Like Terms Combine the constants \(-6\) and \(+4\): \(2x - 2 = 12\) --- ## Step 3: Isolate the Variable Term Add 2 to both sides to isolate the term with \(x\): \(2x - 2 + 2 = 12 + 2\) \(2x = 14\) --- ## Step 4: Solve for \(x\) Divide both sides by 2: \(\frac{2x}{2} = \frac{14}{2}\) \(x = 7\) --- ## Final Answer The solution to the equation is: \(\boxed{x = 7}\)