x − 7 = 5, x = ?

**The reasoning** This is a simple linear equation. To find x, we need to isolate it on one side. Starting with: x − 7 = 5 Add 7 to both sides (we're "undoing" the subtraction): x − 7 + 7 = 5 + 7 x = 12 **Principle**: Whatever you do to one side of an equation, do to the other to keep it balanced. **Why the wrong options tempt you** - **Option A (5)**: You might think x equals the number on the right side. Don't just copy what you see! - **Option C (7)**: You're tempted to pick the number being subtracted. That's the trap — 7 is what we're taking away *from* x, not x itself. - **Option D (0)**: Maybe you subtracted wrong (5 − 7)? Remember, we're solving for x, not calculating 5 − 7. **Quick takeaway** When solving "x − something = answer," always **add that 'something' to both sides** to find x. The answer is bigger than what's on the right!