1. **State the problem:** Solve for $x$ in the equation $2(x + 4) = 16$.
2. **Use the distributive property:** Multiply 2 by each term inside the parentheses.
$$2 \times x + 2 \times 4 = 16$$
which simplifies to
$$2x + 8 = 16$$
3. **Isolate the variable term:** Subtract 8 from both sides to get
$$2x = 16 - 8$$
$$2x = 8$$
4. **Solve for $x$:** Divide both sides by 2
$$x = \frac{8}{2}$$
$$x = 4$$
5. **Answer:** The solution is $x = 4$.
This means when $x$ is 4, the original equation holds true.
Solve Linear Equation 7C1959
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.