To solve the equation 2(x + 2) = 16, we can follow these steps:
- Distribute the 2: This means you will multiply 2 by everything inside the parentheses (x + 2).
So, 2 * x + 2 * 2 = 2x + 4. Now, your equation looks like: 2x + 4 = 16 - Subtract 4 from both sides: You want to get 2x by itself on one side of the equation.
So, subtract 4 from both sides: 2x + 4 - 4 = 16 - 4, which simplifies to 2x = 12. - Divide both sides by 2: Now, to find out what x is, divide both sides of the equation by 2:
2x / 2 = 12 / 2, which gives you x = 6.
Conclusion: The value of x is 6! You can check your work by plugging x back into the original equation:
2(6 + 2) = 16, which simplifies to 2(8) = 16. Since 16 equals 16, you know your solution is correct!