Linear Equation Ba8701
1. **Problem:** Solve the equation $2x + 3 = 7$.
2. **Formula and Trick:** To solve linear equations like this, use the trick "undo operations in reverse order". Start by undoing addition or subtraction, then undo multiplication or division.
3. **Step-by-step solution:**
- Start with $2x + 3 = 7$
- Undo the addition of 3 by subtracting 3 from both sides: $2x + 3 - 3 = 7 - 3$
- Simplify: $2x = 4$
- Undo the multiplication by 2 by dividing both sides by 2: $\frac{2x}{2} = \frac{4}{2}$
- Simplify: $x = 2$
4. **Explanation:** We reversed the operations done to $x$ to isolate it. First, we removed the added 3, then divided by 2 to get $x$ alone.
5. **Final answer:** $x = 2$