https://file.aiquickdraw.com/mathbot/file/1729530438368gclcl01u.jpg

Let's solve the equation provided:

\[
0.4x - 2.7 = 0.5
\]

### Step 1: Isolate the term with \(x\)
Add 2.7 to both sides of the equation to eliminate the constant on the left side:

\[
0.4x = 0.5 + 2.7
\]

\[
0.4x = 3.2
\]

### Step 2: Solve for \(x\)
Now, divide both sides by 0.4 to solve for \(x\):

\[
x = \frac{3.2}{0.4}
\]

\[
x = 8
\]

So the solution is:

\[
x = 8
\]

### Answer:
The correct choice is **A**: \(x = 8\).

Would you like further details or have any questions?

Here are 5 related questions:
1. What would happen if the constant on the left side was negative?
2. How would the process change if there was a coefficient other than 0.4 in front of \(x\)?
3. How would you check if the solution \(x = 8\) is correct?
4. Can this equation have multiple solutions, or is it always a single solution?
5. How would the equation change if you were solving for \(0.4x + 2.7 = 0.5\)?

**Tip:** Always check your solution by substituting the value of \(x\) back into the original equation to verify if it holds true.

Learn how to solve the linear equation 0.4x - 2.7 = 0.5 with a detailed step-by-step solution. This problem covers basic algebraic concepts and is suitable for students in Grades 6-8.

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