Let's solve the equation step by step:

Given:
\[
0.005x = 2x \cdot 0.05 \cdot t
\]

### Step 1: Simplify the right-hand side

On the right-hand side, multiply the constants \( 2 \) and \( 0.05 \):

\[
2 \times 0.05 = 0.1
\]

Now the equation becomes:
\[
0.005x = 0.1x \cdot t
\]

### Step 2: Isolate \( x \)

We can divide both sides of the equation by \( x \) (assuming \( x \neq 0 \)):

\[
0.005 = 0.1 \cdot t
\]

### Step 3: Solve for \( t \)

Now, solve for \( t \) by dividing both sides by \( 0.1 \):

\[
t = \frac{0.005}{0.1}
\]

Simplify the right-hand side:

\[
t = 0.05
\]

So, the solution is:
\[
t = 0.05
\]

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

### Related Questions:
1. How can we handle equations where \( x = 0 \)?
2. What if \( x \) was a negative number? How would that change the solution?
3. How do you solve an equation if it involves more variables, like \( 0.005x + y = 2x \cdot 0.05 \cdot t \)?
4. Can this equation be solved graphically, and if so, how?
5. What happens if the coefficients (like \( 0.005 \) and \( 0.05 \)) are fractions instead?

**Tip:** Always check for special cases where variables may be zero, as they could affect the final solution.

Explore the detailed solution of the equation 0.005x = 2x * 0.05 * t, which demonstrates how to simplify and isolate variables in algebraic equations. This step-by-step guide covers essential algebra concepts for students in Grades 8-10.

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