The equation you've written seems to have a symbol (×) that could represent a variable. I will interpret the equation as:

\[ 5x - 9 = 25^3 - x \]

Let's solve this step by step.

### Step 1: Expand the equation
First, compute \( 25^3 \):

\[ 25^3 = 25 \times 25 \times 25 = 15625 \]

So, the equation becomes:

\[ 5x - 9 = 15625 - x \]

### Step 2: Move all terms involving \( x \) to one side
Add \( x \) to both sides:

\[ 5x + x - 9 = 15625 \]

This simplifies to:

\[ 6x - 9 = 15625 \]

### Step 3: Isolate the \( x \) term
Add 9 to both sides:

\[ 6x = 15625 + 9 \]

\[ 6x = 15634 \]

### Step 4: Solve for \( x \)
Divide both sides by 6:

\[ x = \frac{15634}{6} \]

\[ x = 2605.67 \] (rounded to two decimal places)

So, the solution to the equation is approximately \( x = 2605.67 \).

Would you like more details, or do you have any questions?

Here are 5 related questions:
1. What happens if you substitute the value of \( x \) back into the original equation?
2. How would the solution change if the exponent on 25 was different?
3. What if the constant -9 was positive instead?
4. Can you solve a similar equation with different coefficients for \( x \)?
5. How would you solve this equation if it was quadratic?

**Tip:** When solving equations, always perform operations on both sides to maintain balance and reach the solution step by step.

Learn how to solve the linear equation 5x - 9 = 25^3 - x with a detailed step-by-step solution. This problem covers key algebraic concepts, including exponentiation and solving linear equations. Suitable for students in Grades 7-9.

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