Let's solve the equation step by step.

Step 1: Simplify the left side.

We start with: $4x(3 + 2) = 5^2$

First, simplify inside the parentheses: $4x(5) = 5^2$

Step 2: Multiply the constants on the left.

$20x = 5^2$

Now, calculate $5^2$: $20x = 25$

Step 3: Solve for $x$.

To find $x$, divide both sides by 20: $x = \frac{25}{20}$

Simplify the fraction: $x = \frac{5}{4} = 1.25$

Thus, the solution is: $x = 1.25$

Would you like more details or have any questions?

Here are 5 related questions to explore further:

1. How do you solve similar equations with parentheses?
2. What are the properties of exponents like $5^2$?
3. How can you simplify fractions like $\frac{25}{20}$?
4. Can we solve this equation by graphing both sides?
5. What are the different ways to check the correctness of the solution?

Tip: Always follow the order of operations (PEMDAS) to avoid mistakes in complex calculations.