Let's start solving the given equation step by step to find the value of [tex]\( x \)[/tex].
The equation we have is:
[tex]\[
4(x+2) = 96
\][/tex]
### Step 1: Simplify by dividing both sides by 4
To isolate [tex]\( x+2 \)[/tex], we first divide both sides of the equation by 4.
[tex]\[
x + 2 = \frac{96}{4}
\][/tex]
Simplifying the right-hand side:
[tex]\[
x + 2 = 24
\][/tex]
### Step 2: Isolate [tex]\( x \)[/tex] by subtracting 2 from both sides
Next, we want to solve for [tex]\( x \)[/tex]. To do that, we subtract 2 from both sides of the equation.
[tex]\[
x + 2 - 2 = 24 - 2
\][/tex]
This simplifies to:
[tex]\[
x = 22
\][/tex]
### Conclusion
The value of [tex]\( x \)[/tex] that satisfies the given equation is:
[tex]\[
\boxed{22}
\][/tex]
