Certainly! Let's solve the equation [tex]\(2(x+4)=16\)[/tex] step by step:
1. Distribute the 2 to the terms inside the parentheses:
[tex]\[
2(x) + 2(4) = 16
\][/tex]
This simplifies to:
[tex]\[
2x + 8 = 16
\][/tex]
2. Isolate the term with the variable [tex]\(x\)[/tex]:
To do this, we need to move the constant term [tex]\(8\)[/tex] to the other side of the equation. We do this by subtracting 8 from both sides:
[tex]\[
2x + 8 - 8 = 16 - 8
\][/tex]
Simplifying this, we get:
[tex]\[
2x = 8
\][/tex]
3. Solve for [tex]\(x\)[/tex]:
Now we need to isolate [tex]\(x\)[/tex] by dividing both sides of the equation by 2:
[tex]\[
\frac{2x}{2} = \frac{8}{2}
\][/tex]
This simplifies to:
[tex]\[
x = 4
\][/tex]
So, the solution to the equation [tex]\(2(x + 4) = 16\)[/tex] is [tex]\(\boxed{4}\)[/tex].
