Solve the equation for x.
(5x+36)5=32x5
X=
(Simplify your answer. Use a comma to separate answers as needed.)

Let's start by solving the given equation for \(x\):

\[
(5x + 36)5 = 32x5
\]

### Step 1: Simplify the equation
Distribute the 5 on both sides of the equation:

\[
5(5x + 36) = 5(32x)
\]

This simplifies to:

\[
25x + 180 = 160x
\]

### Step 2: Get all \(x\)-terms on one side
Subtract \(25x\) from both sides of the equation:

\[
180 = 160x - 25x
\]

\[
180 = 135x
\]

### Step 3: Solve for \(x\)
Now, divide both sides by 135:

\[
x = \frac{180}{135} = \frac{36}{27} = \frac{4}{3}
\]

Thus, the solution to the equation is:

\[
x = \frac{4}{3}
\]

Would you like more details on any part of the solution? 

Here are some related questions:
1. How do you handle distributing terms in equations?
2. What steps do you take to isolate variables in linear equations?
3. How do you simplify fractions like \(\frac{180}{135}\)?
4. What happens if the equation involves more complex expressions?
5. Can this method be applied to equations with higher powers of \(x\)?

**Tip:** Always double-check your arithmetic when simplifying fractions to avoid mistakes!

Solve the equation for x.
(5x + 36)5 = 32x5
X=
(Simplify your answer. Use a comma to separate answers as needed.)

Learn how to solve the linear equation (5x + 36)5 = 32x5 with a detailed step-by-step solution. This problem covers key algebraic concepts, including using the distributive property and solving for x. Suitable for students in Grades 8-10.

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