1. **State the problem:** Solve the equation $2x + 2 = 48$ for $x$. 2. **Write down the formula and rules:** This is a linear equation. To solve for $x$, isolate $x$ by performing inverse operations. 3. **Subtract 2 from both sides:** $$2x + 2 - 2 = 48 - 2$$ $$2x = 46$$ 4. **Divide both sides by 2 to isolate $x$:** $$\frac{\cancel{2}x}{\cancel{2}} = \frac{46}{2}$$ $$x = 23$$ 5. **Interpretation:** The value of $x$ that satisfies the equation is $23$. 6. **Check:** Substitute $x=23$ back into the original equation: $$2(23) + 2 = 46 + 2 = 48$$ This confirms the solution is correct.